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Finding the Third Proportional to 104,181.19 and 155,656.69

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Solution

The third proportional to 104,181.19 and 155,656.69 is: 232,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,181.19 : 155,656.69 = 155,656.69 : x
  2. Step 2: Convert to fraction form
    104,181.19/155,656.69 = 155,656.69/x
  3. Step 3: Cross multiply
    104,181.19x = 155,656.69 × 155,656.69
  4. Step 4: Simplify right side
    104,181.19x = 24,229,004,363.47
  5. Step 5: Solve for x
    x = 24,229,004,363.47/104,181.19
  6. Step 6: Final answer
    x = 232,566.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.