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Finding the Third Proportional to 110,189.25 and 163,663.88

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Solution

The third proportional to 110,189.25 and 163,663.88 is: 243,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,189.25 : 163,663.88 = 163,663.88 : x
  2. Step 2: Convert to fraction form
    110,189.25/163,663.88 = 163,663.88/x
  3. Step 3: Cross multiply
    110,189.25x = 163,663.88 × 163,663.88
  4. Step 4: Simplify right side
    110,189.25x = 26,785,863,980.02
  5. Step 5: Solve for x
    x = 26,785,863,980.02/110,189.25
  6. Step 6: Final answer
    x = 243,089.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.