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Finding the Third Proportional to 86,416 and 124,888

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Solution

The third proportional to 86,416 and 124,888 is: 180,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,416 : 124,888 = 124,888 : x
  2. Step 2: Convert to fraction form
    86,416/124,888 = 124,888/x
  3. Step 3: Cross multiply
    86,416x = 124,888 × 124,888
  4. Step 4: Simplify right side
    86,416x = 15,597,012,544
  5. Step 5: Solve for x
    x = 15,597,012,544/86,416
  6. Step 6: Final answer
    x = 180,487.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.