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Finding the Third Proportional to 95,716 and 142,639

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Solution

The third proportional to 95,716 and 142,639 is: 212,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,716 : 142,639 = 142,639 : x
  2. Step 2: Convert to fraction form
    95,716/142,639 = 142,639/x
  3. Step 3: Cross multiply
    95,716x = 142,639 × 142,639
  4. Step 4: Simplify right side
    95,716x = 20,345,884,321
  5. Step 5: Solve for x
    x = 20,345,884,321/95,716
  6. Step 6: Final answer
    x = 212,565.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.