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Finding the Third Proportional to 84,521.25 and 130,806

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Solution

The third proportional to 84,521.25 and 130,806 is: 202,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,521.25 : 130,806 = 130,806 : x
  2. Step 2: Convert to fraction form
    84,521.25/130,806 = 130,806/x
  3. Step 3: Cross multiply
    84,521.25x = 130,806 × 130,806
  4. Step 4: Simplify right side
    84,521.25x = 17,110,209,636
  5. Step 5: Solve for x
    x = 17,110,209,636/84,521.25
  6. Step 6: Final answer
    x = 202,436.78

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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.