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Finding the Third Proportional to 61,126 and 91,038

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Solution

The third proportional to 61,126 and 91,038 is: 135,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,126 : 91,038 = 91,038 : x
  2. Step 2: Convert to fraction form
    61,126/91,038 = 91,038/x
  3. Step 3: Cross multiply
    61,126x = 91,038 × 91,038
  4. Step 4: Simplify right side
    61,126x = 8,287,917,444
  5. Step 5: Solve for x
    x = 8,287,917,444/61,126
  6. Step 6: Final answer
    x = 135,587.43

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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.