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Finding the Third Proportional to 60,956 and 91,434

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Solution

The third proportional to 60,956 and 91,434 is: 137,151

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,956 : 91,434 = 91,434 : x
  2. Step 2: Convert to fraction form
    60,956/91,434 = 91,434/x
  3. Step 3: Cross multiply
    60,956x = 91,434 × 91,434
  4. Step 4: Simplify right side
    60,956x = 8,360,176,356
  5. Step 5: Solve for x
    x = 8,360,176,356/60,956
  6. Step 6: Final answer
    x = 137,151

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.