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Finding the Third Proportional to 59,985.75 and 138,870.38

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Solution

The third proportional to 59,985.75 and 138,870.38 is: 321,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,985.75 : 138,870.38 = 138,870.38 : x
  2. Step 2: Convert to fraction form
    59,985.75/138,870.38 = 138,870.38/x
  3. Step 3: Cross multiply
    59,985.75x = 138,870.38 × 138,870.38
  4. Step 4: Simplify right side
    59,985.75x = 19,284,981,052.64
  5. Step 5: Solve for x
    x = 19,284,981,052.64/59,985.75
  6. Step 6: Final answer
    x = 321,492.71

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.