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Finding the Third Proportional to 61,102.13 and 91,275.19

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Solution

The third proportional to 61,102.13 and 91,275.19 is: 136,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,102.13 : 91,275.19 = 91,275.19 : x
  2. Step 2: Convert to fraction form
    61,102.13/91,275.19 = 91,275.19/x
  3. Step 3: Cross multiply
    61,102.13x = 91,275.19 × 91,275.19
  4. Step 4: Simplify right side
    61,102.13x = 8,331,159,853.16
  5. Step 5: Solve for x
    x = 8,331,159,853.16/61,102.13
  6. Step 6: Final answer
    x = 136,348.12

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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.