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Finding the Third Proportional to 102,652.50 and 152,479.50

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Solution

The third proportional to 102,652.50 and 152,479.50 is: 226,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,652.50 : 152,479.50 = 152,479.50 : x
  2. Step 2: Convert to fraction form
    102,652.50/152,479.50 = 152,479.50/x
  3. Step 3: Cross multiply
    102,652.50x = 152,479.50 × 152,479.50
  4. Step 4: Simplify right side
    102,652.50x = 23,249,997,920.25
  5. Step 5: Solve for x
    x = 23,249,997,920.25/102,652.50
  6. Step 6: Final answer
    x = 226,492.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.