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Finding the Third Proportional to 125,071 and 196,516

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Solution

The third proportional to 125,071 and 196,516 is: 308,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,071 : 196,516 = 196,516 : x
  2. Step 2: Convert to fraction form
    125,071/196,516 = 196,516/x
  3. Step 3: Cross multiply
    125,071x = 196,516 × 196,516
  4. Step 4: Simplify right side
    125,071x = 38,618,538,256
  5. Step 5: Solve for x
    x = 38,618,538,256/125,071
  6. Step 6: Final answer
    x = 308,772.92

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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.