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Finding the Third Proportional to 56,350 and 84,750

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Solution

The third proportional to 56,350 and 84,750 is: 127,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,350 : 84,750 = 84,750 : x
  2. Step 2: Convert to fraction form
    56,350/84,750 = 84,750/x
  3. Step 3: Cross multiply
    56,350x = 84,750 × 84,750
  4. Step 4: Simplify right side
    56,350x = 7,182,562,500
  5. Step 5: Solve for x
    x = 7,182,562,500/56,350
  6. Step 6: Final answer
    x = 127,463.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.