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Finding the Third Proportional to 68,527.69 and 109,352.53

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Solution

The third proportional to 68,527.69 and 109,352.53 is: 174,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,527.69 : 109,352.53 = 109,352.53 : x
  2. Step 2: Convert to fraction form
    68,527.69/109,352.53 = 109,352.53/x
  3. Step 3: Cross multiply
    68,527.69x = 109,352.53 × 109,352.53
  4. Step 4: Simplify right side
    68,527.69x = 11,957,976,090.78
  5. Step 5: Solve for x
    x = 11,957,976,090.78/68,527.69
  6. Step 6: Final answer
    x = 174,498.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.