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Finding the Third Proportional to 62,633 and 137,332

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Solution

The third proportional to 62,633 and 137,332 is: 301,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,633 : 137,332 = 137,332 : x
  2. Step 2: Convert to fraction form
    62,633/137,332 = 137,332/x
  3. Step 3: Cross multiply
    62,633x = 137,332 × 137,332
  4. Step 4: Simplify right side
    62,633x = 18,860,078,224
  5. Step 5: Solve for x
    x = 18,860,078,224/62,633
  6. Step 6: Final answer
    x = 301,120.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.