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Finding the Third Proportional to 95,498 and 210,058

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Solution

The third proportional to 95,498 and 210,058 is: 462,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,498 : 210,058 = 210,058 : x
  2. Step 2: Convert to fraction form
    95,498/210,058 = 210,058/x
  3. Step 3: Cross multiply
    95,498x = 210,058 × 210,058
  4. Step 4: Simplify right side
    95,498x = 44,124,363,364
  5. Step 5: Solve for x
    x = 44,124,363,364/95,498
  6. Step 6: Final answer
    x = 462,044.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.