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Finding the Third Proportional to 61,143 and 92,331

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Solution

The third proportional to 61,143 and 92,331 is: 139,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,143 : 92,331 = 92,331 : x
  2. Step 2: Convert to fraction form
    61,143/92,331 = 92,331/x
  3. Step 3: Cross multiply
    61,143x = 92,331 × 92,331
  4. Step 4: Simplify right side
    61,143x = 8,525,013,561
  5. Step 5: Solve for x
    x = 8,525,013,561/61,143
  6. Step 6: Final answer
    x = 139,427.47

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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.