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Finding the Third Proportional to 84,808 and 115,177.50

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Solution

The third proportional to 84,808 and 115,177.50 is: 156,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,808 : 115,177.50 = 115,177.50 : x
  2. Step 2: Convert to fraction form
    84,808/115,177.50 = 115,177.50/x
  3. Step 3: Cross multiply
    84,808x = 115,177.50 × 115,177.50
  4. Step 4: Simplify right side
    84,808x = 13,265,856,506.25
  5. Step 5: Solve for x
    x = 13,265,856,506.25/84,808
  6. Step 6: Final answer
    x = 156,422.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.