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Finding the Third Proportional to 75,313.50 and 163,752

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Solution

The third proportional to 75,313.50 and 163,752 is: 356,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313.50 : 163,752 = 163,752 : x
  2. Step 2: Convert to fraction form
    75,313.50/163,752 = 163,752/x
  3. Step 3: Cross multiply
    75,313.50x = 163,752 × 163,752
  4. Step 4: Simplify right side
    75,313.50x = 26,814,717,504
  5. Step 5: Solve for x
    x = 26,814,717,504/75,313.50
  6. Step 6: Final answer
    x = 356,041.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.