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Finding the Third Proportional to 83,994.75 and 130,055.25

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Solution

The third proportional to 83,994.75 and 130,055.25 is: 201,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,994.75 : 130,055.25 = 130,055.25 : x
  2. Step 2: Convert to fraction form
    83,994.75/130,055.25 = 130,055.25/x
  3. Step 3: Cross multiply
    83,994.75x = 130,055.25 × 130,055.25
  4. Step 4: Simplify right side
    83,994.75x = 16,914,368,052.56
  5. Step 5: Solve for x
    x = 16,914,368,052.56/83,994.75
  6. Step 6: Final answer
    x = 201,374.11

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Why These Related Problems?

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