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Finding the Third Proportional to 86,080 and 125,696

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Solution

The third proportional to 86,080 and 125,696 is: 183,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,080 : 125,696 = 125,696 : x
  2. Step 2: Convert to fraction form
    86,080/125,696 = 125,696/x
  3. Step 3: Cross multiply
    86,080x = 125,696 × 125,696
  4. Step 4: Simplify right side
    86,080x = 15,799,484,416
  5. Step 5: Solve for x
    x = 15,799,484,416/86,080
  6. Step 6: Final answer
    x = 183,544.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.