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Finding the Third Proportional to 26,142 and 61,703

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Solution

The third proportional to 26,142 and 61,703 is: 145,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142 : 61,703 = 61,703 : x
  2. Step 2: Convert to fraction form
    26,142/61,703 = 61,703/x
  3. Step 3: Cross multiply
    26,142x = 61,703 × 61,703
  4. Step 4: Simplify right side
    26,142x = 3,807,260,209
  5. Step 5: Solve for x
    x = 3,807,260,209/26,142
  6. Step 6: Final answer
    x = 145,637.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.