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Finding the Third Proportional to 125,152 and 268,111

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Solution

The third proportional to 125,152 and 268,111 is: 574,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,152 : 268,111 = 268,111 : x
  2. Step 2: Convert to fraction form
    125,152/268,111 = 268,111/x
  3. Step 3: Cross multiply
    125,152x = 268,111 × 268,111
  4. Step 4: Simplify right side
    125,152x = 71,883,508,321
  5. Step 5: Solve for x
    x = 71,883,508,321/125,152
  6. Step 6: Final answer
    x = 574,369.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.