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Finding the Third Proportional to 45,988 and 94,924

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Solution

The third proportional to 45,988 and 94,924 is: 195,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,988 : 94,924 = 94,924 : x
  2. Step 2: Convert to fraction form
    45,988/94,924 = 94,924/x
  3. Step 3: Cross multiply
    45,988x = 94,924 × 94,924
  4. Step 4: Simplify right side
    45,988x = 9,010,565,776
  5. Step 5: Solve for x
    x = 9,010,565,776/45,988
  6. Step 6: Final answer
    x = 195,932.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.