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Finding the Third Proportional to 104,521 and 229,058

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Solution

The third proportional to 104,521 and 229,058 is: 501,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,521 : 229,058 = 229,058 : x
  2. Step 2: Convert to fraction form
    104,521/229,058 = 229,058/x
  3. Step 3: Cross multiply
    104,521x = 229,058 × 229,058
  4. Step 4: Simplify right side
    104,521x = 52,467,567,364
  5. Step 5: Solve for x
    x = 52,467,567,364/104,521
  6. Step 6: Final answer
    x = 501,981.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.