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Finding the Third Proportional to 65,017 and 97,261

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Solution

The third proportional to 65,017 and 97,261 is: 145,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,017 : 97,261 = 97,261 : x
  2. Step 2: Convert to fraction form
    65,017/97,261 = 97,261/x
  3. Step 3: Cross multiply
    65,017x = 97,261 × 97,261
  4. Step 4: Simplify right side
    65,017x = 9,459,702,121
  5. Step 5: Solve for x
    x = 9,459,702,121/65,017
  6. Step 6: Final answer
    x = 145,495.83

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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.