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Finding the Third Proportional to 108,727.88 and 153,113.63

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Solution

The third proportional to 108,727.88 and 153,113.63 is: 215,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,727.88 : 153,113.63 = 153,113.63 : x
  2. Step 2: Convert to fraction form
    108,727.88/153,113.63 = 153,113.63/x
  3. Step 3: Cross multiply
    108,727.88x = 153,113.63 × 153,113.63
  4. Step 4: Simplify right side
    108,727.88x = 23,443,782,160.64
  5. Step 5: Solve for x
    x = 23,443,782,160.64/108,727.88
  6. Step 6: Final answer
    x = 215,618.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.