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Finding the Third Proportional to 62,208 and 134,784

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Solution

The third proportional to 62,208 and 134,784 is: 292,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,208 : 134,784 = 134,784 : x
  2. Step 2: Convert to fraction form
    62,208/134,784 = 134,784/x
  3. Step 3: Cross multiply
    62,208x = 134,784 × 134,784
  4. Step 4: Simplify right side
    62,208x = 18,166,726,656
  5. Step 5: Solve for x
    x = 18,166,726,656/62,208
  6. Step 6: Final answer
    x = 292,032

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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.