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Finding the Third Proportional to 65,215 and 87,353

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Solution

The third proportional to 65,215 and 87,353 is: 117,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215 : 87,353 = 87,353 : x
  2. Step 2: Convert to fraction form
    65,215/87,353 = 87,353/x
  3. Step 3: Cross multiply
    65,215x = 87,353 × 87,353
  4. Step 4: Simplify right side
    65,215x = 7,630,546,609
  5. Step 5: Solve for x
    x = 7,630,546,609/65,215
  6. Step 6: Final answer
    x = 117,006.00

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