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Finding the Third Proportional to 61,473 and 92,774

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Solution

The third proportional to 61,473 and 92,774 is: 140,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,473 : 92,774 = 92,774 : x
  2. Step 2: Convert to fraction form
    61,473/92,774 = 92,774/x
  3. Step 3: Cross multiply
    61,473x = 92,774 × 92,774
  4. Step 4: Simplify right side
    61,473x = 8,607,015,076
  5. Step 5: Solve for x
    x = 8,607,015,076/61,473
  6. Step 6: Final answer
    x = 140,012.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.