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Finding the Third Proportional to 83,976 and 130,020.75

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Solution

The third proportional to 83,976 and 130,020.75 is: 201,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,976 : 130,020.75 = 130,020.75 : x
  2. Step 2: Convert to fraction form
    83,976/130,020.75 = 130,020.75/x
  3. Step 3: Cross multiply
    83,976x = 130,020.75 × 130,020.75
  4. Step 4: Simplify right side
    83,976x = 16,905,395,430.56
  5. Step 5: Solve for x
    x = 16,905,395,430.56/83,976
  6. Step 6: Final answer
    x = 201,312.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.