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Finding the Third Proportional to 73,896 and 163,340

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Solution

The third proportional to 73,896 and 163,340 is: 361,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,896 : 163,340 = 163,340 : x
  2. Step 2: Convert to fraction form
    73,896/163,340 = 163,340/x
  3. Step 3: Cross multiply
    73,896x = 163,340 × 163,340
  4. Step 4: Simplify right side
    73,896x = 26,679,955,600
  5. Step 5: Solve for x
    x = 26,679,955,600/73,896
  6. Step 6: Final answer
    x = 361,047.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.