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Finding the Third Proportional to 71,588.25 and 161,740.13

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Solution

The third proportional to 71,588.25 and 161,740.13 is: 365,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,588.25 : 161,740.13 = 161,740.13 : x
  2. Step 2: Convert to fraction form
    71,588.25/161,740.13 = 161,740.13/x
  3. Step 3: Cross multiply
    71,588.25x = 161,740.13 × 161,740.13
  4. Step 4: Simplify right side
    71,588.25x = 26,159,868,035.02
  5. Step 5: Solve for x
    x = 26,159,868,035.02/71,588.25
  6. Step 6: Final answer
    x = 365,421.25

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.