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Finding the Third Proportional to 65,215 and 87,352

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Solution

The third proportional to 65,215 and 87,352 is: 117,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215 : 87,352 = 87,352 : x
  2. Step 2: Convert to fraction form
    65,215/87,352 = 87,352/x
  3. Step 3: Cross multiply
    65,215x = 87,352 × 87,352
  4. Step 4: Simplify right side
    65,215x = 7,630,371,904
  5. Step 5: Solve for x
    x = 7,630,371,904/65,215
  6. Step 6: Final answer
    x = 117,003.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.