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Finding the Third Proportional to 99,572 and 157,744

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Solution

The third proportional to 99,572 and 157,744 is: 249,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,572 : 157,744 = 157,744 : x
  2. Step 2: Convert to fraction form
    99,572/157,744 = 157,744/x
  3. Step 3: Cross multiply
    99,572x = 157,744 × 157,744
  4. Step 4: Simplify right side
    99,572x = 24,883,169,536
  5. Step 5: Solve for x
    x = 24,883,169,536/99,572
  6. Step 6: Final answer
    x = 249,901.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.