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Finding the Third Proportional to 91,959 and 140,613

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Solution

The third proportional to 91,959 and 140,613 is: 215,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,959 : 140,613 = 140,613 : x
  2. Step 2: Convert to fraction form
    91,959/140,613 = 140,613/x
  3. Step 3: Cross multiply
    91,959x = 140,613 × 140,613
  4. Step 4: Simplify right side
    91,959x = 19,772,015,769
  5. Step 5: Solve for x
    x = 19,772,015,769/91,959
  6. Step 6: Final answer
    x = 215,009.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.