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Finding the Third Proportional to 84,027.50 and 130,172.50

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Solution

The third proportional to 84,027.50 and 130,172.50 is: 201,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,027.50 : 130,172.50 = 130,172.50 : x
  2. Step 2: Convert to fraction form
    84,027.50/130,172.50 = 130,172.50/x
  3. Step 3: Cross multiply
    84,027.50x = 130,172.50 × 130,172.50
  4. Step 4: Simplify right side
    84,027.50x = 16,944,879,756.25
  5. Step 5: Solve for x
    x = 16,944,879,756.25/84,027.50
  6. Step 6: Final answer
    x = 201,658.74

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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.