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Finding the Third Proportional to 125,092 and 194,046

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Solution

The third proportional to 125,092 and 194,046 is: 301,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,092 : 194,046 = 194,046 : x
  2. Step 2: Convert to fraction form
    125,092/194,046 = 194,046/x
  3. Step 3: Cross multiply
    125,092x = 194,046 × 194,046
  4. Step 4: Simplify right side
    125,092x = 37,653,850,116
  5. Step 5: Solve for x
    x = 37,653,850,116/125,092
  6. Step 6: Final answer
    x = 301,009.26

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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.