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Finding the Third Proportional to 108,820.13 and 166,357.13

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Solution

The third proportional to 108,820.13 and 166,357.13 is: 254,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,820.13 : 166,357.13 = 166,357.13 : x
  2. Step 2: Convert to fraction form
    108,820.13/166,357.13 = 166,357.13/x
  3. Step 3: Cross multiply
    108,820.13x = 166,357.13 × 166,357.13
  4. Step 4: Simplify right side
    108,820.13x = 27,674,693,038.27
  5. Step 5: Solve for x
    x = 27,674,693,038.27/108,820.13
  6. Step 6: Final answer
    x = 254,315.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.