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Finding the Third Proportional to 37,755 and 88,177.50

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Solution

The third proportional to 37,755 and 88,177.50 is: 205,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,755 : 88,177.50 = 88,177.50 : x
  2. Step 2: Convert to fraction form
    37,755/88,177.50 = 88,177.50/x
  3. Step 3: Cross multiply
    37,755x = 88,177.50 × 88,177.50
  4. Step 4: Simplify right side
    37,755x = 7,775,271,506.25
  5. Step 5: Solve for x
    x = 7,775,271,506.25/37,755
  6. Step 6: Final answer
    x = 205,940.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.