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Finding the Third Proportional to 110,187 and 163,660.50

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Solution

The third proportional to 110,187 and 163,660.50 is: 243,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,187 : 163,660.50 = 163,660.50 : x
  2. Step 2: Convert to fraction form
    110,187/163,660.50 = 163,660.50/x
  3. Step 3: Cross multiply
    110,187x = 163,660.50 × 163,660.50
  4. Step 4: Simplify right side
    110,187x = 26,784,759,260.25
  5. Step 5: Solve for x
    x = 26,784,759,260.25/110,187
  6. Step 6: Final answer
    x = 243,084.57

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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.