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Finding the Third Proportional to 69,703.03 and 110,782.69

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Solution

The third proportional to 69,703.03 and 110,782.69 is: 176,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,703.03 : 110,782.69 = 110,782.69 : x
  2. Step 2: Convert to fraction form
    69,703.03/110,782.69 = 110,782.69/x
  3. Step 3: Cross multiply
    69,703.03x = 110,782.69 × 110,782.69
  4. Step 4: Simplify right side
    69,703.03x = 12,272,803,849.72
  5. Step 5: Solve for x
    x = 12,272,803,849.72/69,703.03
  6. Step 6: Final answer
    x = 176,072.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.