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Finding the Third Proportional to 49,476 and 78,660

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Solution

The third proportional to 49,476 and 78,660 is: 125,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,476 : 78,660 = 78,660 : x
  2. Step 2: Convert to fraction form
    49,476/78,660 = 78,660/x
  3. Step 3: Cross multiply
    49,476x = 78,660 × 78,660
  4. Step 4: Simplify right side
    49,476x = 6,187,395,600
  5. Step 5: Solve for x
    x = 6,187,395,600/49,476
  6. Step 6: Final answer
    x = 125,058.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.