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Finding the Third Proportional to 125,657 and 273,130

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Solution

The third proportional to 125,657 and 273,130 is: 593,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,657 : 273,130 = 273,130 : x
  2. Step 2: Convert to fraction form
    125,657/273,130 = 273,130/x
  3. Step 3: Cross multiply
    125,657x = 273,130 × 273,130
  4. Step 4: Simplify right side
    125,657x = 74,599,996,900
  5. Step 5: Solve for x
    x = 74,599,996,900/125,657
  6. Step 6: Final answer
    x = 593,679.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.