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Finding the Third Proportional to 40,613 and 88,597

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Solution

The third proportional to 40,613 and 88,597 is: 193,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,613 : 88,597 = 88,597 : x
  2. Step 2: Convert to fraction form
    40,613/88,597 = 88,597/x
  3. Step 3: Cross multiply
    40,613x = 88,597 × 88,597
  4. Step 4: Simplify right side
    40,613x = 7,849,428,409
  5. Step 5: Solve for x
    x = 7,849,428,409/40,613
  6. Step 6: Final answer
    x = 193,273.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.