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Finding the Third Proportional to 60,320 and 92,040

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Solution

The third proportional to 60,320 and 92,040 is: 140,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,320 : 92,040 = 92,040 : x
  2. Step 2: Convert to fraction form
    60,320/92,040 = 92,040/x
  3. Step 3: Cross multiply
    60,320x = 92,040 × 92,040
  4. Step 4: Simplify right side
    60,320x = 8,471,361,600
  5. Step 5: Solve for x
    x = 8,471,361,600/60,320
  6. Step 6: Final answer
    x = 140,440.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.