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Finding the Third Proportional to 59,435 and 123,851.50

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Solution

The third proportional to 59,435 and 123,851.50 is: 258,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,435 : 123,851.50 = 123,851.50 : x
  2. Step 2: Convert to fraction form
    59,435/123,851.50 = 123,851.50/x
  3. Step 3: Cross multiply
    59,435x = 123,851.50 × 123,851.50
  4. Step 4: Simplify right side
    59,435x = 15,339,194,052.25
  5. Step 5: Solve for x
    x = 15,339,194,052.25/59,435
  6. Step 6: Final answer
    x = 258,083.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.