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Finding the Third Proportional to 102,572 and 157,448

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Solution

The third proportional to 102,572 and 157,448 is: 241,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,572 : 157,448 = 157,448 : x
  2. Step 2: Convert to fraction form
    102,572/157,448 = 157,448/x
  3. Step 3: Cross multiply
    102,572x = 157,448 × 157,448
  4. Step 4: Simplify right side
    102,572x = 24,789,872,704
  5. Step 5: Solve for x
    x = 24,789,872,704/102,572
  6. Step 6: Final answer
    x = 241,682.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.