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Finding the Third Proportional to 86,090 and 125,708

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Solution

The third proportional to 86,090 and 125,708 is: 183,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,090 : 125,708 = 125,708 : x
  2. Step 2: Convert to fraction form
    86,090/125,708 = 125,708/x
  3. Step 3: Cross multiply
    86,090x = 125,708 × 125,708
  4. Step 4: Simplify right side
    86,090x = 15,802,501,264
  5. Step 5: Solve for x
    x = 15,802,501,264/86,090
  6. Step 6: Final answer
    x = 183,557.92

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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.