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Finding the Third Proportional to 29,238 and 63,152

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Solution

The third proportional to 29,238 and 63,152 is: 136,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238 : 63,152 = 63,152 : x
  2. Step 2: Convert to fraction form
    29,238/63,152 = 63,152/x
  3. Step 3: Cross multiply
    29,238x = 63,152 × 63,152
  4. Step 4: Simplify right side
    29,238x = 3,988,175,104
  5. Step 5: Solve for x
    x = 3,988,175,104/29,238
  6. Step 6: Final answer
    x = 136,403.83

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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.