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Finding the Third Proportional to 74,533 and 109,423

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Solution

The third proportional to 74,533 and 109,423 is: 160,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,533 : 109,423 = 109,423 : x
  2. Step 2: Convert to fraction form
    74,533/109,423 = 109,423/x
  3. Step 3: Cross multiply
    74,533x = 109,423 × 109,423
  4. Step 4: Simplify right side
    74,533x = 11,973,392,929
  5. Step 5: Solve for x
    x = 11,973,392,929/74,533
  6. Step 6: Final answer
    x = 160,645.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.