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Finding the Third Proportional to 125,698 and 273,548

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Solution

The third proportional to 125,698 and 273,548 is: 595,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,698 : 273,548 = 273,548 : x
  2. Step 2: Convert to fraction form
    125,698/273,548 = 273,548/x
  3. Step 3: Cross multiply
    125,698x = 273,548 × 273,548
  4. Step 4: Simplify right side
    125,698x = 74,828,508,304
  5. Step 5: Solve for x
    x = 74,828,508,304/125,698
  6. Step 6: Final answer
    x = 595,303.89

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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.