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Finding the Third Proportional to 61,356 and 92,031

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Solution

The third proportional to 61,356 and 92,031 is: 138,042.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,356 : 92,031 = 92,031 : x
  2. Step 2: Convert to fraction form
    61,356/92,031 = 92,031/x
  3. Step 3: Cross multiply
    61,356x = 92,031 × 92,031
  4. Step 4: Simplify right side
    61,356x = 8,469,704,961
  5. Step 5: Solve for x
    x = 8,469,704,961/61,356
  6. Step 6: Final answer
    x = 138,042.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.