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Finding the Third Proportional to 56,248 and 84,216

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Solution

The third proportional to 56,248 and 84,216 is: 126,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,248 : 84,216 = 84,216 : x
  2. Step 2: Convert to fraction form
    56,248/84,216 = 84,216/x
  3. Step 3: Cross multiply
    56,248x = 84,216 × 84,216
  4. Step 4: Simplify right side
    56,248x = 7,092,334,656
  5. Step 5: Solve for x
    x = 7,092,334,656/56,248
  6. Step 6: Final answer
    x = 126,090.43

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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.