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Finding the Third Proportional to 73,504.13 and 161,017.88

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Solution

The third proportional to 73,504.13 and 161,017.88 is: 352,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,504.13 : 161,017.88 = 161,017.88 : x
  2. Step 2: Convert to fraction form
    73,504.13/161,017.88 = 161,017.88/x
  3. Step 3: Cross multiply
    73,504.13x = 161,017.88 × 161,017.88
  4. Step 4: Simplify right side
    73,504.13x = 25,926,756,069.52
  5. Step 5: Solve for x
    x = 25,926,756,069.52/73,504.13
  6. Step 6: Final answer
    x = 352,725.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.