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Finding the Third Proportional to 72,207.75 and 161,017.50

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Solution

The third proportional to 72,207.75 and 161,017.50 is: 359,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,207.75 : 161,017.50 = 161,017.50 : x
  2. Step 2: Convert to fraction form
    72,207.75/161,017.50 = 161,017.50/x
  3. Step 3: Cross multiply
    72,207.75x = 161,017.50 × 161,017.50
  4. Step 4: Simplify right side
    72,207.75x = 25,926,635,306.25
  5. Step 5: Solve for x
    x = 25,926,635,306.25/72,207.75
  6. Step 6: Final answer
    x = 359,056.13

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.