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Finding the Third Proportional to 125,412 and 196,440

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Solution

The third proportional to 125,412 and 196,440 is: 307,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,412 : 196,440 = 196,440 : x
  2. Step 2: Convert to fraction form
    125,412/196,440 = 196,440/x
  3. Step 3: Cross multiply
    125,412x = 196,440 × 196,440
  4. Step 4: Simplify right side
    125,412x = 38,588,673,600
  5. Step 5: Solve for x
    x = 38,588,673,600/125,412
  6. Step 6: Final answer
    x = 307,695.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.