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Finding the Third Proportional to 125,016 and 264,522

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Solution

The third proportional to 125,016 and 264,522 is: 559,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,016 : 264,522 = 264,522 : x
  2. Step 2: Convert to fraction form
    125,016/264,522 = 264,522/x
  3. Step 3: Cross multiply
    125,016x = 264,522 × 264,522
  4. Step 4: Simplify right side
    125,016x = 69,971,888,484
  5. Step 5: Solve for x
    x = 69,971,888,484/125,016
  6. Step 6: Final answer
    x = 559,703.47

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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.