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Finding the Third Proportional to 59,185.50 and 87,878.25

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Solution

The third proportional to 59,185.50 and 87,878.25 is: 130,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,185.50 : 87,878.25 = 87,878.25 : x
  2. Step 2: Convert to fraction form
    59,185.50/87,878.25 = 87,878.25/x
  3. Step 3: Cross multiply
    59,185.50x = 87,878.25 × 87,878.25
  4. Step 4: Simplify right side
    59,185.50x = 7,722,586,823.06
  5. Step 5: Solve for x
    x = 7,722,586,823.06/59,185.50
  6. Step 6: Final answer
    x = 130,481.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.