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Finding the Third Proportional to 52,581 and 79,416

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Solution

The third proportional to 52,581 and 79,416 is: 119,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,581 : 79,416 = 79,416 : x
  2. Step 2: Convert to fraction form
    52,581/79,416 = 79,416/x
  3. Step 3: Cross multiply
    52,581x = 79,416 × 79,416
  4. Step 4: Simplify right side
    52,581x = 6,306,901,056
  5. Step 5: Solve for x
    x = 6,306,901,056/52,581
  6. Step 6: Final answer
    x = 119,946.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.