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Finding the Third Proportional to 61,152 and 92,344

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Solution

The third proportional to 61,152 and 92,344 is: 139,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,152 : 92,344 = 92,344 : x
  2. Step 2: Convert to fraction form
    61,152/92,344 = 92,344/x
  3. Step 3: Cross multiply
    61,152x = 92,344 × 92,344
  4. Step 4: Simplify right side
    61,152x = 8,527,414,336
  5. Step 5: Solve for x
    x = 8,527,414,336/61,152
  6. Step 6: Final answer
    x = 139,446.21

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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.