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Finding the Third Proportional to 61,157 and 92,384

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Solution

The third proportional to 61,157 and 92,384 is: 139,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,157 : 92,384 = 92,384 : x
  2. Step 2: Convert to fraction form
    61,157/92,384 = 92,384/x
  3. Step 3: Cross multiply
    61,157x = 92,384 × 92,384
  4. Step 4: Simplify right side
    61,157x = 8,534,803,456
  5. Step 5: Solve for x
    x = 8,534,803,456/61,157
  6. Step 6: Final answer
    x = 139,555.63

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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.