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Finding the Third Proportional to 51,095.25 and 84,436.88

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Solution

The third proportional to 51,095.25 and 84,436.88 is: 139,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,095.25 : 84,436.88 = 84,436.88 : x
  2. Step 2: Convert to fraction form
    51,095.25/84,436.88 = 84,436.88/x
  3. Step 3: Cross multiply
    51,095.25x = 84,436.88 × 84,436.88
  4. Step 4: Simplify right side
    51,095.25x = 7,129,585,859.77
  5. Step 5: Solve for x
    x = 7,129,585,859.77/51,095.25
  6. Step 6: Final answer
    x = 139,535.20

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.