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Finding the Third Proportional to 104,920.13 and 158,377.50

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Solution

The third proportional to 104,920.13 and 158,377.50 is: 239,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,920.13 : 158,377.50 = 158,377.50 : x
  2. Step 2: Convert to fraction form
    104,920.13/158,377.50 = 158,377.50/x
  3. Step 3: Cross multiply
    104,920.13x = 158,377.50 × 158,377.50
  4. Step 4: Simplify right side
    104,920.13x = 25,083,432,506.25
  5. Step 5: Solve for x
    x = 25,083,432,506.25/104,920.13
  6. Step 6: Final answer
    x = 239,071.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.