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Finding the Third Proportional to 59,514 and 140,248.50

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Solution

The third proportional to 59,514 and 140,248.50 is: 330,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,514 : 140,248.50 = 140,248.50 : x
  2. Step 2: Convert to fraction form
    59,514/140,248.50 = 140,248.50/x
  3. Step 3: Cross multiply
    59,514x = 140,248.50 × 140,248.50
  4. Step 4: Simplify right side
    59,514x = 19,669,641,752.25
  5. Step 5: Solve for x
    x = 19,669,641,752.25/59,514
  6. Step 6: Final answer
    x = 330,504.45

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.