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Finding the Third Proportional to 60,944 and 91,416

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Solution

The third proportional to 60,944 and 91,416 is: 137,124

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,944 : 91,416 = 91,416 : x
  2. Step 2: Convert to fraction form
    60,944/91,416 = 91,416/x
  3. Step 3: Cross multiply
    60,944x = 91,416 × 91,416
  4. Step 4: Simplify right side
    60,944x = 8,356,885,056
  5. Step 5: Solve for x
    x = 8,356,885,056/60,944
  6. Step 6: Final answer
    x = 137,124

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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.