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Finding the Third Proportional to 100,633 and 148,033

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Solution

The third proportional to 100,633 and 148,033 is: 217,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,633 : 148,033 = 148,033 : x
  2. Step 2: Convert to fraction form
    100,633/148,033 = 148,033/x
  3. Step 3: Cross multiply
    100,633x = 148,033 × 148,033
  4. Step 4: Simplify right side
    100,633x = 21,913,769,089
  5. Step 5: Solve for x
    x = 21,913,769,089/100,633
  6. Step 6: Final answer
    x = 217,759.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.