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Finding the Third Proportional to 108,820.13 and 168,085.13

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Solution

The third proportional to 108,820.13 and 168,085.13 is: 259,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,820.13 : 168,085.13 = 168,085.13 : x
  2. Step 2: Convert to fraction form
    108,820.13/168,085.13 = 168,085.13/x
  3. Step 3: Cross multiply
    108,820.13x = 168,085.13 × 168,085.13
  4. Step 4: Simplify right side
    108,820.13x = 28,252,609,246.27
  5. Step 5: Solve for x
    x = 28,252,609,246.27/108,820.13
  6. Step 6: Final answer
    x = 259,626.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.