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Finding the Third Proportional to 62,346 and 135,264

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Solution

The third proportional to 62,346 and 135,264 is: 293,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,346 : 135,264 = 135,264 : x
  2. Step 2: Convert to fraction form
    62,346/135,264 = 135,264/x
  3. Step 3: Cross multiply
    62,346x = 135,264 × 135,264
  4. Step 4: Simplify right side
    62,346x = 18,296,349,696
  5. Step 5: Solve for x
    x = 18,296,349,696/62,346
  6. Step 6: Final answer
    x = 293,464.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.