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Finding the Third Proportional to 62,830.69 and 136,740.66

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Solution

The third proportional to 62,830.69 and 136,740.66 is: 297,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,830.69 : 136,740.66 = 136,740.66 : x
  2. Step 2: Convert to fraction form
    62,830.69/136,740.66 = 136,740.66/x
  3. Step 3: Cross multiply
    62,830.69x = 136,740.66 × 136,740.66
  4. Step 4: Simplify right side
    62,830.69x = 18,698,007,071.68
  5. Step 5: Solve for x
    x = 18,698,007,071.68/62,830.69
  6. Step 6: Final answer
    x = 297,593.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.