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Finding the Third Proportional to 83,608 and 130,960

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Solution

The third proportional to 83,608 and 130,960 is: 205,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,608 : 130,960 = 130,960 : x
  2. Step 2: Convert to fraction form
    83,608/130,960 = 130,960/x
  3. Step 3: Cross multiply
    83,608x = 130,960 × 130,960
  4. Step 4: Simplify right side
    83,608x = 17,150,521,600
  5. Step 5: Solve for x
    x = 17,150,521,600/83,608
  6. Step 6: Final answer
    x = 205,130.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.