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Finding the Third Proportional to 55,432 and 121,598

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Solution

The third proportional to 55,432 and 121,598 is: 266,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,432 : 121,598 = 121,598 : x
  2. Step 2: Convert to fraction form
    55,432/121,598 = 121,598/x
  3. Step 3: Cross multiply
    55,432x = 121,598 × 121,598
  4. Step 4: Simplify right side
    55,432x = 14,786,073,604
  5. Step 5: Solve for x
    x = 14,786,073,604/55,432
  6. Step 6: Final answer
    x = 266,742.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.