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Finding the Third Proportional to 60,092 and 94,264

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Solution

The third proportional to 60,092 and 94,264 is: 147,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,092 : 94,264 = 94,264 : x
  2. Step 2: Convert to fraction form
    60,092/94,264 = 94,264/x
  3. Step 3: Cross multiply
    60,092x = 94,264 × 94,264
  4. Step 4: Simplify right side
    60,092x = 8,885,701,696
  5. Step 5: Solve for x
    x = 8,885,701,696/60,092
  6. Step 6: Final answer
    x = 147,868.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.