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Finding the Third Proportional to 67,492.50 and 148,209

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Solution

The third proportional to 67,492.50 and 148,209 is: 325,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,492.50 : 148,209 = 148,209 : x
  2. Step 2: Convert to fraction form
    67,492.50/148,209 = 148,209/x
  3. Step 3: Cross multiply
    67,492.50x = 148,209 × 148,209
  4. Step 4: Simplify right side
    67,492.50x = 21,965,907,681
  5. Step 5: Solve for x
    x = 21,965,907,681/67,492.50
  6. Step 6: Final answer
    x = 325,457.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.