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Finding the Third Proportional to 65,288 and 87,510

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Solution

The third proportional to 65,288 and 87,510 is: 117,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,288 : 87,510 = 87,510 : x
  2. Step 2: Convert to fraction form
    65,288/87,510 = 87,510/x
  3. Step 3: Cross multiply
    65,288x = 87,510 × 87,510
  4. Step 4: Simplify right side
    65,288x = 7,658,000,100
  5. Step 5: Solve for x
    x = 7,658,000,100/65,288
  6. Step 6: Final answer
    x = 117,295.68

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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.