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Finding the Third Proportional to 56,947 and 124,620

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Solution

The third proportional to 56,947 and 124,620 is: 272,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,947 : 124,620 = 124,620 : x
  2. Step 2: Convert to fraction form
    56,947/124,620 = 124,620/x
  3. Step 3: Cross multiply
    56,947x = 124,620 × 124,620
  4. Step 4: Simplify right side
    56,947x = 15,530,144,400
  5. Step 5: Solve for x
    x = 15,530,144,400/56,947
  6. Step 6: Final answer
    x = 272,712.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.