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Finding the Third Proportional to 125,301 and 194,315

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Solution

The third proportional to 125,301 and 194,315 is: 301,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,301 : 194,315 = 194,315 : x
  2. Step 2: Convert to fraction form
    125,301/194,315 = 194,315/x
  3. Step 3: Cross multiply
    125,301x = 194,315 × 194,315
  4. Step 4: Simplify right side
    125,301x = 37,758,319,225
  5. Step 5: Solve for x
    x = 37,758,319,225/125,301
  6. Step 6: Final answer
    x = 301,340.92

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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.