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Finding the Third Proportional to 75,364 and 163,688

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Solution

The third proportional to 75,364 and 163,688 is: 355,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,364 : 163,688 = 163,688 : x
  2. Step 2: Convert to fraction form
    75,364/163,688 = 163,688/x
  3. Step 3: Cross multiply
    75,364x = 163,688 × 163,688
  4. Step 4: Simplify right side
    75,364x = 26,793,761,344
  5. Step 5: Solve for x
    x = 26,793,761,344/75,364
  6. Step 6: Final answer
    x = 355,524.67

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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.