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Finding the Third Proportional to 39,195 and 86,193.50

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Solution

The third proportional to 39,195 and 86,193.50 is: 189,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,195 : 86,193.50 = 86,193.50 : x
  2. Step 2: Convert to fraction form
    39,195/86,193.50 = 86,193.50/x
  3. Step 3: Cross multiply
    39,195x = 86,193.50 × 86,193.50
  4. Step 4: Simplify right side
    39,195x = 7,429,319,442.25
  5. Step 5: Solve for x
    x = 7,429,319,442.25/39,195
  6. Step 6: Final answer
    x = 189,547.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.