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Finding the Third Proportional to 125,292 and 260,952

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Solution

The third proportional to 125,292 and 260,952 is: 543,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,292 : 260,952 = 260,952 : x
  2. Step 2: Convert to fraction form
    125,292/260,952 = 260,952/x
  3. Step 3: Cross multiply
    125,292x = 260,952 × 260,952
  4. Step 4: Simplify right side
    125,292x = 68,095,946,304
  5. Step 5: Solve for x
    x = 68,095,946,304/125,292
  6. Step 6: Final answer
    x = 543,497.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.