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Finding the Third Proportional to 125,165 and 194,070

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Solution

The third proportional to 125,165 and 194,070 is: 300,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,165 : 194,070 = 194,070 : x
  2. Step 2: Convert to fraction form
    125,165/194,070 = 194,070/x
  3. Step 3: Cross multiply
    125,165x = 194,070 × 194,070
  4. Step 4: Simplify right side
    125,165x = 37,663,164,900
  5. Step 5: Solve for x
    x = 37,663,164,900/125,165
  6. Step 6: Final answer
    x = 300,908.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.