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Finding the Third Proportional to 62,234 and 134,284

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Solution

The third proportional to 62,234 and 134,284 is: 289,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,234 : 134,284 = 134,284 : x
  2. Step 2: Convert to fraction form
    62,234/134,284 = 134,284/x
  3. Step 3: Cross multiply
    62,234x = 134,284 × 134,284
  4. Step 4: Simplify right side
    62,234x = 18,032,192,656
  5. Step 5: Solve for x
    x = 18,032,192,656/62,234
  6. Step 6: Final answer
    x = 289,748.25

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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.