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Finding the Third Proportional to 64,860.75 and 82,878.19

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Solution

The third proportional to 64,860.75 and 82,878.19 is: 105,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,860.75 : 82,878.19 = 82,878.19 : x
  2. Step 2: Convert to fraction form
    64,860.75/82,878.19 = 82,878.19/x
  3. Step 3: Cross multiply
    64,860.75x = 82,878.19 × 82,878.19
  4. Step 4: Simplify right side
    64,860.75x = 6,868,793,963.29
  5. Step 5: Solve for x
    x = 6,868,793,963.29/64,860.75
  6. Step 6: Final answer
    x = 105,900.63

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.