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Finding the Third Proportional to 65,522 and 98,171

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Solution

The third proportional to 65,522 and 98,171 is: 147,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,522 : 98,171 = 98,171 : x
  2. Step 2: Convert to fraction form
    65,522/98,171 = 98,171/x
  3. Step 3: Cross multiply
    65,522x = 98,171 × 98,171
  4. Step 4: Simplify right side
    65,522x = 9,637,545,241
  5. Step 5: Solve for x
    x = 9,637,545,241/65,522
  6. Step 6: Final answer
    x = 147,088.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.