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Finding the Third Proportional to 61,038 and 91,497

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Solution

The third proportional to 61,038 and 91,497 is: 137,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,038 : 91,497 = 91,497 : x
  2. Step 2: Convert to fraction form
    61,038/91,497 = 91,497/x
  3. Step 3: Cross multiply
    61,038x = 91,497 × 91,497
  4. Step 4: Simplify right side
    61,038x = 8,371,701,009
  5. Step 5: Solve for x
    x = 8,371,701,009/61,038
  6. Step 6: Final answer
    x = 137,155.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.