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Finding the Third Proportional to 125,696 and 273,586

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Solution

The third proportional to 125,696 and 273,586 is: 595,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,696 : 273,586 = 273,586 : x
  2. Step 2: Convert to fraction form
    125,696/273,586 = 273,586/x
  3. Step 3: Cross multiply
    125,696x = 273,586 × 273,586
  4. Step 4: Simplify right side
    125,696x = 74,849,299,396
  5. Step 5: Solve for x
    x = 74,849,299,396/125,696
  6. Step 6: Final answer
    x = 595,478.77

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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.