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Finding the Third Proportional to 63,815 and 93,879

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Solution

The third proportional to 63,815 and 93,879 is: 138,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,815 : 93,879 = 93,879 : x
  2. Step 2: Convert to fraction form
    63,815/93,879 = 93,879/x
  3. Step 3: Cross multiply
    63,815x = 93,879 × 93,879
  4. Step 4: Simplify right side
    63,815x = 8,813,266,641
  5. Step 5: Solve for x
    x = 8,813,266,641/63,815
  6. Step 6: Final answer
    x = 138,106.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.