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Finding the Third Proportional to 61,827 and 92,754

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Solution

The third proportional to 61,827 and 92,754 is: 139,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,827 : 92,754 = 92,754 : x
  2. Step 2: Convert to fraction form
    61,827/92,754 = 92,754/x
  3. Step 3: Cross multiply
    61,827x = 92,754 × 92,754
  4. Step 4: Simplify right side
    61,827x = 8,603,304,516
  5. Step 5: Solve for x
    x = 8,603,304,516/61,827
  6. Step 6: Final answer
    x = 139,151.25

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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.