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Finding the Third Proportional to 61,466.75 and 92,633

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Solution

The third proportional to 61,466.75 and 92,633 is: 139,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,466.75 : 92,633 = 92,633 : x
  2. Step 2: Convert to fraction form
    61,466.75/92,633 = 92,633/x
  3. Step 3: Cross multiply
    61,466.75x = 92,633 × 92,633
  4. Step 4: Simplify right side
    61,466.75x = 8,580,872,689
  5. Step 5: Solve for x
    x = 8,580,872,689/61,466.75
  6. Step 6: Final answer
    x = 139,601.86

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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.