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Finding the Third Proportional to 56,490 and 125,374.50

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Solution

The third proportional to 56,490 and 125,374.50 is: 278,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,490 : 125,374.50 = 125,374.50 : x
  2. Step 2: Convert to fraction form
    56,490/125,374.50 = 125,374.50/x
  3. Step 3: Cross multiply
    56,490x = 125,374.50 × 125,374.50
  4. Step 4: Simplify right side
    56,490x = 15,718,765,250.25
  5. Step 5: Solve for x
    x = 15,718,765,250.25/56,490
  6. Step 6: Final answer
    x = 278,257.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.