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Finding the Third Proportional to 84,326.25 and 128,215.69

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Solution

The third proportional to 84,326.25 and 128,215.69 is: 194,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,326.25 : 128,215.69 = 128,215.69 : x
  2. Step 2: Convert to fraction form
    84,326.25/128,215.69 = 128,215.69/x
  3. Step 3: Cross multiply
    84,326.25x = 128,215.69 × 128,215.69
  4. Step 4: Simplify right side
    84,326.25x = 16,439,262,521.10
  5. Step 5: Solve for x
    x = 16,439,262,521.10/84,326.25
  6. Step 6: Final answer
    x = 194,948.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.