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Finding the Third Proportional to 91,964 and 140,620

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Solution

The third proportional to 91,964 and 140,620 is: 215,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,964 : 140,620 = 140,620 : x
  2. Step 2: Convert to fraction form
    91,964/140,620 = 140,620/x
  3. Step 3: Cross multiply
    91,964x = 140,620 × 140,620
  4. Step 4: Simplify right side
    91,964x = 19,773,984,400
  5. Step 5: Solve for x
    x = 19,773,984,400/91,964
  6. Step 6: Final answer
    x = 215,018.75

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Why These Related Problems?

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