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Finding the Third Proportional to 62,838 and 136,584

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Solution

The third proportional to 62,838 and 136,584 is: 296,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,838 : 136,584 = 136,584 : x
  2. Step 2: Convert to fraction form
    62,838/136,584 = 136,584/x
  3. Step 3: Cross multiply
    62,838x = 136,584 × 136,584
  4. Step 4: Simplify right side
    62,838x = 18,655,189,056
  5. Step 5: Solve for x
    x = 18,655,189,056/62,838
  6. Step 6: Final answer
    x = 296,877.51

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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.