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Finding the Third Proportional to 65,952 and 96,408

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Solution

The third proportional to 65,952 and 96,408 is: 140,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952 : 96,408 = 96,408 : x
  2. Step 2: Convert to fraction form
    65,952/96,408 = 96,408/x
  3. Step 3: Cross multiply
    65,952x = 96,408 × 96,408
  4. Step 4: Simplify right side
    65,952x = 9,294,502,464
  5. Step 5: Solve for x
    x = 9,294,502,464/65,952
  6. Step 6: Final answer
    x = 140,928.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.