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Finding the Third Proportional to 100,823 and 148,935

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Solution

The third proportional to 100,823 and 148,935 is: 220,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,823 : 148,935 = 148,935 : x
  2. Step 2: Convert to fraction form
    100,823/148,935 = 148,935/x
  3. Step 3: Cross multiply
    100,823x = 148,935 × 148,935
  4. Step 4: Simplify right side
    100,823x = 22,181,634,225
  5. Step 5: Solve for x
    x = 22,181,634,225/100,823
  6. Step 6: Final answer
    x = 220,005.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.