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Finding the Third Proportional to 91,718.06 and 137,155.13

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Solution

The third proportional to 91,718.06 and 137,155.13 is: 205,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,718.06 : 137,155.13 = 137,155.13 : x
  2. Step 2: Convert to fraction form
    91,718.06/137,155.13 = 137,155.13/x
  3. Step 3: Cross multiply
    91,718.06x = 137,155.13 × 137,155.13
  4. Step 4: Simplify right side
    91,718.06x = 18,811,528,313.77
  5. Step 5: Solve for x
    x = 18,811,528,313.77/91,718.06
  6. Step 6: Final answer
    x = 205,101.68

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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.