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Finding the Third Proportional to 56,478 and 87,499

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Solution

The third proportional to 56,478 and 87,499 is: 135,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,478 : 87,499 = 87,499 : x
  2. Step 2: Convert to fraction form
    56,478/87,499 = 87,499/x
  3. Step 3: Cross multiply
    56,478x = 87,499 × 87,499
  4. Step 4: Simplify right side
    56,478x = 7,656,075,001
  5. Step 5: Solve for x
    x = 7,656,075,001/56,478
  6. Step 6: Final answer
    x = 135,558.54

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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.