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Finding the Third Proportional to 91,216.13 and 136,459.69

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Solution

The third proportional to 91,216.13 and 136,459.69 is: 204,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,216.13 : 136,459.69 = 136,459.69 : x
  2. Step 2: Convert to fraction form
    91,216.13/136,459.69 = 136,459.69/x
  3. Step 3: Cross multiply
    91,216.13x = 136,459.69 × 136,459.69
  4. Step 4: Simplify right side
    91,216.13x = 18,621,246,312.60
  5. Step 5: Solve for x
    x = 18,621,246,312.60/91,216.13
  6. Step 6: Final answer
    x = 204,144.24

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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.