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Finding the Third Proportional to 63,716 and 101,206

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Solution

The third proportional to 63,716 and 101,206 is: 160,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,716 : 101,206 = 101,206 : x
  2. Step 2: Convert to fraction form
    63,716/101,206 = 101,206/x
  3. Step 3: Cross multiply
    63,716x = 101,206 × 101,206
  4. Step 4: Simplify right side
    63,716x = 10,242,654,436
  5. Step 5: Solve for x
    x = 10,242,654,436/63,716
  6. Step 6: Final answer
    x = 160,754.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.