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Finding the Third Proportional to 95,024 and 150,461

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Solution

The third proportional to 95,024 and 150,461 is: 238,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,024 : 150,461 = 150,461 : x
  2. Step 2: Convert to fraction form
    95,024/150,461 = 150,461/x
  3. Step 3: Cross multiply
    95,024x = 150,461 × 150,461
  4. Step 4: Simplify right side
    95,024x = 22,638,512,521
  5. Step 5: Solve for x
    x = 22,638,512,521/95,024
  6. Step 6: Final answer
    x = 238,239.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.