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Finding the Third Proportional to 125,071 and 295,061

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Solution

The third proportional to 125,071 and 295,061 is: 696,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,071 : 295,061 = 295,061 : x
  2. Step 2: Convert to fraction form
    125,071/295,061 = 295,061/x
  3. Step 3: Cross multiply
    125,071x = 295,061 × 295,061
  4. Step 4: Simplify right side
    125,071x = 87,060,993,721
  5. Step 5: Solve for x
    x = 87,060,993,721/125,071
  6. Step 6: Final answer
    x = 696,092.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.