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Finding the Third Proportional to 61,964 and 96,082

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Solution

The third proportional to 61,964 and 96,082 is: 148,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,964 : 96,082 = 96,082 : x
  2. Step 2: Convert to fraction form
    61,964/96,082 = 96,082/x
  3. Step 3: Cross multiply
    61,964x = 96,082 × 96,082
  4. Step 4: Simplify right side
    61,964x = 9,231,750,724
  5. Step 5: Solve for x
    x = 9,231,750,724/61,964
  6. Step 6: Final answer
    x = 148,985.71

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Why These Related Problems?

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