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Finding the Third Proportional to 65,252 and 103,710

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Solution

The third proportional to 65,252 and 103,710 is: 164,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252 : 103,710 = 103,710 : x
  2. Step 2: Convert to fraction form
    65,252/103,710 = 103,710/x
  3. Step 3: Cross multiply
    65,252x = 103,710 × 103,710
  4. Step 4: Simplify right side
    65,252x = 10,755,764,100
  5. Step 5: Solve for x
    x = 10,755,764,100/65,252
  6. Step 6: Final answer
    x = 164,834.24

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.