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Finding the Third Proportional to 105,131 and 229,270

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Solution

The third proportional to 105,131 and 229,270 is: 499,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,131 : 229,270 = 229,270 : x
  2. Step 2: Convert to fraction form
    105,131/229,270 = 229,270/x
  3. Step 3: Cross multiply
    105,131x = 229,270 × 229,270
  4. Step 4: Simplify right side
    105,131x = 52,564,732,900
  5. Step 5: Solve for x
    x = 52,564,732,900/105,131
  6. Step 6: Final answer
    x = 499,992.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.