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Finding the Third Proportional to 49,447 and 78,617

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Solution

The third proportional to 49,447 and 78,617 is: 124,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,447 : 78,617 = 78,617 : x
  2. Step 2: Convert to fraction form
    49,447/78,617 = 78,617/x
  3. Step 3: Cross multiply
    49,447x = 78,617 × 78,617
  4. Step 4: Simplify right side
    49,447x = 6,180,632,689
  5. Step 5: Solve for x
    x = 6,180,632,689/49,447
  6. Step 6: Final answer
    x = 124,995.10

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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.