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Finding the Third Proportional to 91,776 and 134,632

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Solution

The third proportional to 91,776 and 134,632 is: 197,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,776 : 134,632 = 134,632 : x
  2. Step 2: Convert to fraction form
    91,776/134,632 = 134,632/x
  3. Step 3: Cross multiply
    91,776x = 134,632 × 134,632
  4. Step 4: Simplify right side
    91,776x = 18,125,775,424
  5. Step 5: Solve for x
    x = 18,125,775,424/91,776
  6. Step 6: Final answer
    x = 197,500.17

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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.