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Finding the Third Proportional to 61,398 and 91,717.88

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Solution

The third proportional to 61,398 and 91,717.88 is: 137,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398 : 91,717.88 = 91,717.88 : x
  2. Step 2: Convert to fraction form
    61,398/91,717.88 = 91,717.88/x
  3. Step 3: Cross multiply
    61,398x = 91,717.88 × 91,717.88
  4. Step 4: Simplify right side
    61,398x = 8,412,168,594.52
  5. Step 5: Solve for x
    x = 8,412,168,594.52/61,398
  6. Step 6: Final answer
    x = 137,010.47

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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.