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Finding the Third Proportional to 59,275.13 and 91,378.13

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Solution

The third proportional to 59,275.13 and 91,378.13 is: 140,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,275.13 : 91,378.13 = 91,378.13 : x
  2. Step 2: Convert to fraction form
    59,275.13/91,378.13 = 91,378.13/x
  3. Step 3: Cross multiply
    59,275.13x = 91,378.13 × 91,378.13
  4. Step 4: Simplify right side
    59,275.13x = 8,349,961,728.52
  5. Step 5: Solve for x
    x = 8,349,961,728.52/59,275.13
  6. Step 6: Final answer
    x = 140,867.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.