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Finding the Third Proportional to 125,569 and 261,362

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Solution

The third proportional to 125,569 and 261,362 is: 544,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,569 : 261,362 = 261,362 : x
  2. Step 2: Convert to fraction form
    125,569/261,362 = 261,362/x
  3. Step 3: Cross multiply
    125,569x = 261,362 × 261,362
  4. Step 4: Simplify right side
    125,569x = 68,310,095,044
  5. Step 5: Solve for x
    x = 68,310,095,044/125,569
  6. Step 6: Final answer
    x = 544,004.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.