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Finding the Third Proportional to 125,666 and 273,148

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Solution

The third proportional to 125,666 and 273,148 is: 593,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,666 : 273,148 = 273,148 : x
  2. Step 2: Convert to fraction form
    125,666/273,148 = 273,148/x
  3. Step 3: Cross multiply
    125,666x = 273,148 × 273,148
  4. Step 4: Simplify right side
    125,666x = 74,609,829,904
  5. Step 5: Solve for x
    x = 74,609,829,904/125,666
  6. Step 6: Final answer
    x = 593,715.32

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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.