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Finding the Third Proportional to 91,059.75 and 137,860.13

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Solution

The third proportional to 91,059.75 and 137,860.13 is: 208,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,059.75 : 137,860.13 = 137,860.13 : x
  2. Step 2: Convert to fraction form
    91,059.75/137,860.13 = 137,860.13/x
  3. Step 3: Cross multiply
    91,059.75x = 137,860.13 × 137,860.13
  4. Step 4: Simplify right side
    91,059.75x = 19,005,414,065.02
  5. Step 5: Solve for x
    x = 19,005,414,065.02/91,059.75
  6. Step 6: Final answer
    x = 208,713.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.