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Finding the Third Proportional to 91,865 and 141,959

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Solution

The third proportional to 91,865 and 141,959 is: 219,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,865 : 141,959 = 141,959 : x
  2. Step 2: Convert to fraction form
    91,865/141,959 = 141,959/x
  3. Step 3: Cross multiply
    91,865x = 141,959 × 141,959
  4. Step 4: Simplify right side
    91,865x = 20,152,357,681
  5. Step 5: Solve for x
    x = 20,152,357,681/91,865
  6. Step 6: Final answer
    x = 219,369.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.