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Finding the Third Proportional to 85,735.13 and 130,312.69

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Solution

The third proportional to 85,735.13 and 130,312.69 is: 198,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,735.13 : 130,312.69 = 130,312.69 : x
  2. Step 2: Convert to fraction form
    85,735.13/130,312.69 = 130,312.69/x
  3. Step 3: Cross multiply
    85,735.13x = 130,312.69 × 130,312.69
  4. Step 4: Simplify right side
    85,735.13x = 16,981,396,523.47
  5. Step 5: Solve for x
    x = 16,981,396,523.47/85,735.13
  6. Step 6: Final answer
    x = 198,068.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.