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Finding the Third Proportional to 84,055.50 and 130,146.75

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Solution

The third proportional to 84,055.50 and 130,146.75 is: 201,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,055.50 : 130,146.75 = 130,146.75 : x
  2. Step 2: Convert to fraction form
    84,055.50/130,146.75 = 130,146.75/x
  3. Step 3: Cross multiply
    84,055.50x = 130,146.75 × 130,146.75
  4. Step 4: Simplify right side
    84,055.50x = 16,938,176,535.56
  5. Step 5: Solve for x
    x = 16,938,176,535.56/84,055.50
  6. Step 6: Final answer
    x = 201,511.82

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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.