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Finding the Third Proportional to 65,286 and 87,507

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Solution

The third proportional to 65,286 and 87,507 is: 117,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,286 : 87,507 = 87,507 : x
  2. Step 2: Convert to fraction form
    65,286/87,507 = 87,507/x
  3. Step 3: Cross multiply
    65,286x = 87,507 × 87,507
  4. Step 4: Simplify right side
    65,286x = 7,657,475,049
  5. Step 5: Solve for x
    x = 7,657,475,049/65,286
  6. Step 6: Final answer
    x = 117,291.23

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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.