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Finding the Third Proportional to 91,767.25 and 129,230.50

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Solution

The third proportional to 91,767.25 and 129,230.50 is: 181,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,767.25 : 129,230.50 = 129,230.50 : x
  2. Step 2: Convert to fraction form
    91,767.25/129,230.50 = 129,230.50/x
  3. Step 3: Cross multiply
    91,767.25x = 129,230.50 × 129,230.50
  4. Step 4: Simplify right side
    91,767.25x = 16,700,522,130.25
  5. Step 5: Solve for x
    x = 16,700,522,130.25/91,767.25
  6. Step 6: Final answer
    x = 181,987.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.