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Finding the Third Proportional to 52,981 and 74,257.50

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Solution

The third proportional to 52,981 and 74,257.50 is: 104,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,981 : 74,257.50 = 74,257.50 : x
  2. Step 2: Convert to fraction form
    52,981/74,257.50 = 74,257.50/x
  3. Step 3: Cross multiply
    52,981x = 74,257.50 × 74,257.50
  4. Step 4: Simplify right side
    52,981x = 5,514,176,306.25
  5. Step 5: Solve for x
    x = 5,514,176,306.25/52,981
  6. Step 6: Final answer
    x = 104,078.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.