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Finding the Third Proportional to 91,416 and 134,478

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Solution

The third proportional to 91,416 and 134,478 is: 197,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,416 : 134,478 = 134,478 : x
  2. Step 2: Convert to fraction form
    91,416/134,478 = 134,478/x
  3. Step 3: Cross multiply
    91,416x = 134,478 × 134,478
  4. Step 4: Simplify right side
    91,416x = 18,084,332,484
  5. Step 5: Solve for x
    x = 18,084,332,484/91,416
  6. Step 6: Final answer
    x = 197,824.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.