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Finding the Third Proportional to 84,057.75 and 130,146.75

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Solution

The third proportional to 84,057.75 and 130,146.75 is: 201,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,057.75 : 130,146.75 = 130,146.75 : x
  2. Step 2: Convert to fraction form
    84,057.75/130,146.75 = 130,146.75/x
  3. Step 3: Cross multiply
    84,057.75x = 130,146.75 × 130,146.75
  4. Step 4: Simplify right side
    84,057.75x = 16,938,176,535.56
  5. Step 5: Solve for x
    x = 16,938,176,535.56/84,057.75
  6. Step 6: Final answer
    x = 201,506.42

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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.