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Finding the Third Proportional to 125,891 and 266,365

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Solution

The third proportional to 125,891 and 266,365 is: 563,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,891 : 266,365 = 266,365 : x
  2. Step 2: Convert to fraction form
    125,891/266,365 = 266,365/x
  3. Step 3: Cross multiply
    125,891x = 266,365 × 266,365
  4. Step 4: Simplify right side
    125,891x = 70,950,313,225
  5. Step 5: Solve for x
    x = 70,950,313,225/125,891
  6. Step 6: Final answer
    x = 563,585.27

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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.