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Finding the Third Proportional to 125,088 and 194,040

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Solution

The third proportional to 125,088 and 194,040 is: 301,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,088 : 194,040 = 194,040 : x
  2. Step 2: Convert to fraction form
    125,088/194,040 = 194,040/x
  3. Step 3: Cross multiply
    125,088x = 194,040 × 194,040
  4. Step 4: Simplify right side
    125,088x = 37,651,521,600
  5. Step 5: Solve for x
    x = 37,651,521,600/125,088
  6. Step 6: Final answer
    x = 301,000.27

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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.