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Finding the Third Proportional to 91,765.13 and 161,012.25

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Solution

The third proportional to 91,765.13 and 161,012.25 is: 282,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,765.13 : 161,012.25 = 161,012.25 : x
  2. Step 2: Convert to fraction form
    91,765.13/161,012.25 = 161,012.25/x
  3. Step 3: Cross multiply
    91,765.13x = 161,012.25 × 161,012.25
  4. Step 4: Simplify right side
    91,765.13x = 25,924,944,650.06
  5. Step 5: Solve for x
    x = 25,924,944,650.06/91,765.13
  6. Step 6: Final answer
    x = 282,514.13

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.