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Finding the Third Proportional to 71,757 and 110,663.50

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Solution

The third proportional to 71,757 and 110,663.50 is: 170,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757 : 110,663.50 = 110,663.50 : x
  2. Step 2: Convert to fraction form
    71,757/110,663.50 = 110,663.50/x
  3. Step 3: Cross multiply
    71,757x = 110,663.50 × 110,663.50
  4. Step 4: Simplify right side
    71,757x = 12,246,410,232.25
  5. Step 5: Solve for x
    x = 12,246,410,232.25/71,757
  6. Step 6: Final answer
    x = 170,665.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.