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Finding the Third Proportional to 75,223.69 and 114,316.31

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Solution

The third proportional to 75,223.69 and 114,316.31 is: 173,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,223.69 : 114,316.31 = 114,316.31 : x
  2. Step 2: Convert to fraction form
    75,223.69/114,316.31 = 114,316.31/x
  3. Step 3: Cross multiply
    75,223.69x = 114,316.31 × 114,316.31
  4. Step 4: Simplify right side
    75,223.69x = 13,068,219,303.60
  5. Step 5: Solve for x
    x = 13,068,219,303.60/75,223.69
  6. Step 6: Final answer
    x = 173,724.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.