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Finding the Third Proportional to 99,502 and 157,553

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Solution

The third proportional to 99,502 and 157,553 is: 249,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,502 : 157,553 = 157,553 : x
  2. Step 2: Convert to fraction form
    99,502/157,553 = 157,553/x
  3. Step 3: Cross multiply
    99,502x = 157,553 × 157,553
  4. Step 4: Simplify right side
    99,502x = 24,822,947,809
  5. Step 5: Solve for x
    x = 24,822,947,809/99,502
  6. Step 6: Final answer
    x = 249,471.85

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