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Finding the Third Proportional to 102,028.50 and 157,506.75

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Solution

The third proportional to 102,028.50 and 157,506.75 is: 243,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028.50 : 157,506.75 = 157,506.75 : x
  2. Step 2: Convert to fraction form
    102,028.50/157,506.75 = 157,506.75/x
  3. Step 3: Cross multiply
    102,028.50x = 157,506.75 × 157,506.75
  4. Step 4: Simplify right side
    102,028.50x = 24,808,376,295.56
  5. Step 5: Solve for x
    x = 24,808,376,295.56/102,028.50
  6. Step 6: Final answer
    x = 243,151.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.