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Finding the Third Proportional to 125,678 and 260,104

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Solution

The third proportional to 125,678 and 260,104 is: 538,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,678 : 260,104 = 260,104 : x
  2. Step 2: Convert to fraction form
    125,678/260,104 = 260,104/x
  3. Step 3: Cross multiply
    125,678x = 260,104 × 260,104
  4. Step 4: Simplify right side
    125,678x = 67,654,090,816
  5. Step 5: Solve for x
    x = 67,654,090,816/125,678
  6. Step 6: Final answer
    x = 538,312.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.