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Finding the Third Proportional to 121,743 and 170,272.13

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Solution

The third proportional to 121,743 and 170,272.13 is: 238,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,743 : 170,272.13 = 170,272.13 : x
  2. Step 2: Convert to fraction form
    121,743/170,272.13 = 170,272.13/x
  3. Step 3: Cross multiply
    121,743x = 170,272.13 × 170,272.13
  4. Step 4: Simplify right side
    121,743x = 28,992,596,552.02
  5. Step 5: Solve for x
    x = 28,992,596,552.02/121,743
  6. Step 6: Final answer
    x = 238,145.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.