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Finding the Third Proportional to 99,506 and 157,559

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Solution

The third proportional to 99,506 and 157,559 is: 249,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,506 : 157,559 = 157,559 : x
  2. Step 2: Convert to fraction form
    99,506/157,559 = 157,559/x
  3. Step 3: Cross multiply
    99,506x = 157,559 × 157,559
  4. Step 4: Simplify right side
    99,506x = 24,824,838,481
  5. Step 5: Solve for x
    x = 24,824,838,481/99,506
  6. Step 6: Final answer
    x = 249,480.82

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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.