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Finding the Third Proportional to 110,580 and 166,786.50

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Solution

The third proportional to 110,580 and 166,786.50 is: 251,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,580 : 166,786.50 = 166,786.50 : x
  2. Step 2: Convert to fraction form
    110,580/166,786.50 = 166,786.50/x
  3. Step 3: Cross multiply
    110,580x = 166,786.50 × 166,786.50
  4. Step 4: Simplify right side
    110,580x = 27,817,736,582.25
  5. Step 5: Solve for x
    x = 27,817,736,582.25/110,580
  6. Step 6: Final answer
    x = 251,562.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.