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Finding the Third Proportional to 65,768 and 93,061

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Solution

The third proportional to 65,768 and 93,061 is: 131,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,768 : 93,061 = 93,061 : x
  2. Step 2: Convert to fraction form
    65,768/93,061 = 93,061/x
  3. Step 3: Cross multiply
    65,768x = 93,061 × 93,061
  4. Step 4: Simplify right side
    65,768x = 8,660,349,721
  5. Step 5: Solve for x
    x = 8,660,349,721/65,768
  6. Step 6: Final answer
    x = 131,680.30

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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.