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Finding the Third Proportional to 74,931 and 160,523

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Solution

The third proportional to 74,931 and 160,523 is: 343,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,931 : 160,523 = 160,523 : x
  2. Step 2: Convert to fraction form
    74,931/160,523 = 160,523/x
  3. Step 3: Cross multiply
    74,931x = 160,523 × 160,523
  4. Step 4: Simplify right side
    74,931x = 25,767,633,529
  5. Step 5: Solve for x
    x = 25,767,633,529/74,931
  6. Step 6: Final answer
    x = 343,884.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.