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Finding the Third Proportional to 125,955 and 268,596

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Solution

The third proportional to 125,955 and 268,596 is: 572,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,955 : 268,596 = 268,596 : x
  2. Step 2: Convert to fraction form
    125,955/268,596 = 268,596/x
  3. Step 3: Cross multiply
    125,955x = 268,596 × 268,596
  4. Step 4: Simplify right side
    125,955x = 72,143,811,216
  5. Step 5: Solve for x
    x = 72,143,811,216/125,955
  6. Step 6: Final answer
    x = 572,774.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.