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Finding the Third Proportional to 53,444 and 82,750

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Solution

The third proportional to 53,444 and 82,750 is: 128,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,444 : 82,750 = 82,750 : x
  2. Step 2: Convert to fraction form
    53,444/82,750 = 82,750/x
  3. Step 3: Cross multiply
    53,444x = 82,750 × 82,750
  4. Step 4: Simplify right side
    53,444x = 6,847,562,500
  5. Step 5: Solve for x
    x = 6,847,562,500/53,444
  6. Step 6: Final answer
    x = 128,125.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.