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Finding the Third Proportional to 91,416 and 137,124

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Solution

The third proportional to 91,416 and 137,124 is: 205,686

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,416 : 137,124 = 137,124 : x
  2. Step 2: Convert to fraction form
    91,416/137,124 = 137,124/x
  3. Step 3: Cross multiply
    91,416x = 137,124 × 137,124
  4. Step 4: Simplify right side
    91,416x = 18,802,991,376
  5. Step 5: Solve for x
    x = 18,802,991,376/91,416
  6. Step 6: Final answer
    x = 205,686

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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.