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Finding the Third Proportional to 86,208 and 129,416

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Solution

The third proportional to 86,208 and 129,416 is: 194,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,208 : 129,416 = 129,416 : x
  2. Step 2: Convert to fraction form
    86,208/129,416 = 129,416/x
  3. Step 3: Cross multiply
    86,208x = 129,416 × 129,416
  4. Step 4: Simplify right side
    86,208x = 16,748,501,056
  5. Step 5: Solve for x
    x = 16,748,501,056/86,208
  6. Step 6: Final answer
    x = 194,280.13

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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.