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Finding the Third Proportional to 64,626 and 87,295

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Solution

The third proportional to 64,626 and 87,295 is: 117,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,626 : 87,295 = 87,295 : x
  2. Step 2: Convert to fraction form
    64,626/87,295 = 87,295/x
  3. Step 3: Cross multiply
    64,626x = 87,295 × 87,295
  4. Step 4: Simplify right side
    64,626x = 7,620,417,025
  5. Step 5: Solve for x
    x = 7,620,417,025/64,626
  6. Step 6: Final answer
    x = 117,915.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.