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Finding the Third Proportional to 65,753 and 93,039

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Solution

The third proportional to 65,753 and 93,039 is: 131,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,753 : 93,039 = 93,039 : x
  2. Step 2: Convert to fraction form
    65,753/93,039 = 93,039/x
  3. Step 3: Cross multiply
    65,753x = 93,039 × 93,039
  4. Step 4: Simplify right side
    65,753x = 8,656,255,521
  5. Step 5: Solve for x
    x = 8,656,255,521/65,753
  6. Step 6: Final answer
    x = 131,648.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.