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Finding the Third Proportional to 63,033 and 136,230

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Solution

The third proportional to 63,033 and 136,230 is: 294,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,033 : 136,230 = 136,230 : x
  2. Step 2: Convert to fraction form
    63,033/136,230 = 136,230/x
  3. Step 3: Cross multiply
    63,033x = 136,230 × 136,230
  4. Step 4: Simplify right side
    63,033x = 18,558,612,900
  5. Step 5: Solve for x
    x = 18,558,612,900/63,033
  6. Step 6: Final answer
    x = 294,426.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.