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Finding the Third Proportional to 58,698.42 and 126,776.39

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Solution

The third proportional to 58,698.42 and 126,776.39 is: 273,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,698.42 : 126,776.39 = 126,776.39 : x
  2. Step 2: Convert to fraction form
    58,698.42/126,776.39 = 126,776.39/x
  3. Step 3: Cross multiply
    58,698.42x = 126,776.39 × 126,776.39
  4. Step 4: Simplify right side
    58,698.42x = 16,072,253,219.90
  5. Step 5: Solve for x
    x = 16,072,253,219.90/58,698.42
  6. Step 6: Final answer
    x = 273,810.65

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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.