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Finding the Third Proportional to 56,408 and 75,276

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Solution

The third proportional to 56,408 and 75,276 is: 100,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408 : 75,276 = 75,276 : x
  2. Step 2: Convert to fraction form
    56,408/75,276 = 75,276/x
  3. Step 3: Cross multiply
    56,408x = 75,276 × 75,276
  4. Step 4: Simplify right side
    56,408x = 5,666,476,176
  5. Step 5: Solve for x
    x = 5,666,476,176/56,408
  6. Step 6: Final answer
    x = 100,455.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.