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Finding the Third Proportional to 47,129 and 97,538

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Solution

The third proportional to 47,129 and 97,538 is: 201,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,129 : 97,538 = 97,538 : x
  2. Step 2: Convert to fraction form
    47,129/97,538 = 97,538/x
  3. Step 3: Cross multiply
    47,129x = 97,538 × 97,538
  4. Step 4: Simplify right side
    47,129x = 9,513,661,444
  5. Step 5: Solve for x
    x = 9,513,661,444/47,129
  6. Step 6: Final answer
    x = 201,864.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.