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Finding the Third Proportional to 74,981 and 158,391

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Solution

The third proportional to 74,981 and 158,391 is: 334,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,981 : 158,391 = 158,391 : x
  2. Step 2: Convert to fraction form
    74,981/158,391 = 158,391/x
  3. Step 3: Cross multiply
    74,981x = 158,391 × 158,391
  4. Step 4: Simplify right side
    74,981x = 25,087,708,881
  5. Step 5: Solve for x
    x = 25,087,708,881/74,981
  6. Step 6: Final answer
    x = 334,587.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.