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Finding the Third Proportional to 86,523.19 and 127,119.38

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Solution

The third proportional to 86,523.19 and 127,119.38 is: 186,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,523.19 : 127,119.38 = 127,119.38 : x
  2. Step 2: Convert to fraction form
    86,523.19/127,119.38 = 127,119.38/x
  3. Step 3: Cross multiply
    86,523.19x = 127,119.38 × 127,119.38
  4. Step 4: Simplify right side
    86,523.19x = 16,159,335,500.39
  5. Step 5: Solve for x
    x = 16,159,335,500.39/86,523.19
  6. Step 6: Final answer
    x = 186,763.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.