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Finding the Third Proportional to 56,232 and 119,750

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Solution

The third proportional to 56,232 and 119,750 is: 255,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,232 : 119,750 = 119,750 : x
  2. Step 2: Convert to fraction form
    56,232/119,750 = 119,750/x
  3. Step 3: Cross multiply
    56,232x = 119,750 × 119,750
  4. Step 4: Simplify right side
    56,232x = 14,340,062,500
  5. Step 5: Solve for x
    x = 14,340,062,500/56,232
  6. Step 6: Final answer
    x = 255,016.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.