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Finding the Third Proportional to 113,566.78 and 165,420.56

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Solution

The third proportional to 113,566.78 and 165,420.56 is: 240,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,566.78 : 165,420.56 = 165,420.56 : x
  2. Step 2: Convert to fraction form
    113,566.78/165,420.56 = 165,420.56/x
  3. Step 3: Cross multiply
    113,566.78x = 165,420.56 × 165,420.56
  4. Step 4: Simplify right side
    113,566.78x = 27,363,962,497.82
  5. Step 5: Solve for x
    x = 27,363,962,497.82/113,566.78
  6. Step 6: Final answer
    x = 240,950.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.