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Finding the Third Proportional to 74,927 and 160,482

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Solution

The third proportional to 74,927 and 160,482 is: 343,727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,927 : 160,482 = 160,482 : x
  2. Step 2: Convert to fraction form
    74,927/160,482 = 160,482/x
  3. Step 3: Cross multiply
    74,927x = 160,482 × 160,482
  4. Step 4: Simplify right side
    74,927x = 25,754,472,324
  5. Step 5: Solve for x
    x = 25,754,472,324/74,927
  6. Step 6: Final answer
    x = 343,727.53

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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.