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Finding the Third Proportional to 62,505 and 134,829

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Solution

The third proportional to 62,505 and 134,829 is: 290,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,505 : 134,829 = 134,829 : x
  2. Step 2: Convert to fraction form
    62,505/134,829 = 134,829/x
  3. Step 3: Cross multiply
    62,505x = 134,829 × 134,829
  4. Step 4: Simplify right side
    62,505x = 18,178,859,241
  5. Step 5: Solve for x
    x = 18,178,859,241/62,505
  6. Step 6: Final answer
    x = 290,838.48

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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.