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Finding the Third Proportional to 56,870 and 124,492

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Solution

The third proportional to 56,870 and 124,492 is: 272,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,870 : 124,492 = 124,492 : x
  2. Step 2: Convert to fraction form
    56,870/124,492 = 124,492/x
  3. Step 3: Cross multiply
    56,870x = 124,492 × 124,492
  4. Step 4: Simplify right side
    56,870x = 15,498,258,064
  5. Step 5: Solve for x
    x = 15,498,258,064/56,870
  6. Step 6: Final answer
    x = 272,520.80

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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.