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Finding the Third Proportional to 65,287 and 97,683

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Solution

The third proportional to 65,287 and 97,683 is: 146,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,287 : 97,683 = 97,683 : x
  2. Step 2: Convert to fraction form
    65,287/97,683 = 97,683/x
  3. Step 3: Cross multiply
    65,287x = 97,683 × 97,683
  4. Step 4: Simplify right side
    65,287x = 9,541,968,489
  5. Step 5: Solve for x
    x = 9,541,968,489/65,287
  6. Step 6: Final answer
    x = 146,154.19

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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.