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Finding the Third Proportional to 125,834 and 266,243

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Solution

The third proportional to 125,834 and 266,243 is: 563,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,834 : 266,243 = 266,243 : x
  2. Step 2: Convert to fraction form
    125,834/266,243 = 266,243/x
  3. Step 3: Cross multiply
    125,834x = 266,243 × 266,243
  4. Step 4: Simplify right side
    125,834x = 70,885,335,049
  5. Step 5: Solve for x
    x = 70,885,335,049/125,834
  6. Step 6: Final answer
    x = 563,324.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.