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Finding the Third Proportional to 56,460 and 84,416

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Solution

The third proportional to 56,460 and 84,416 is: 126,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,460 : 84,416 = 84,416 : x
  2. Step 2: Convert to fraction form
    56,460/84,416 = 84,416/x
  3. Step 3: Cross multiply
    56,460x = 84,416 × 84,416
  4. Step 4: Simplify right side
    56,460x = 7,126,061,056
  5. Step 5: Solve for x
    x = 7,126,061,056/56,460
  6. Step 6: Final answer
    x = 126,214.33

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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.