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Finding the Third Proportional to 86,842.13 and 130,035.38

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Solution

The third proportional to 86,842.13 and 130,035.38 is: 194,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,842.13 : 130,035.38 = 130,035.38 : x
  2. Step 2: Convert to fraction form
    86,842.13/130,035.38 = 130,035.38/x
  3. Step 3: Cross multiply
    86,842.13x = 130,035.38 × 130,035.38
  4. Step 4: Simplify right side
    86,842.13x = 16,909,198,751.39
  5. Step 5: Solve for x
    x = 16,909,198,751.39/86,842.13
  6. Step 6: Final answer
    x = 194,711.94

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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.