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Finding the Third Proportional to 68,934 and 110,599.50

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Solution

The third proportional to 68,934 and 110,599.50 is: 177,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,934 : 110,599.50 = 110,599.50 : x
  2. Step 2: Convert to fraction form
    68,934/110,599.50 = 110,599.50/x
  3. Step 3: Cross multiply
    68,934x = 110,599.50 × 110,599.50
  4. Step 4: Simplify right side
    68,934x = 12,232,249,400.25
  5. Step 5: Solve for x
    x = 12,232,249,400.25/68,934
  6. Step 6: Final answer
    x = 177,448.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.