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Finding the Third Proportional to 92,128 and 138,264

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Solution

The third proportional to 92,128 and 138,264 is: 207,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,128 : 138,264 = 138,264 : x
  2. Step 2: Convert to fraction form
    92,128/138,264 = 138,264/x
  3. Step 3: Cross multiply
    92,128x = 138,264 × 138,264
  4. Step 4: Simplify right side
    92,128x = 19,116,933,696
  5. Step 5: Solve for x
    x = 19,116,933,696/92,128
  6. Step 6: Final answer
    x = 207,504.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.