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Finding the Third Proportional to 78,036 and 168,363

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Solution

The third proportional to 78,036 and 168,363 is: 363,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,036 : 168,363 = 168,363 : x
  2. Step 2: Convert to fraction form
    78,036/168,363 = 168,363/x
  3. Step 3: Cross multiply
    78,036x = 168,363 × 168,363
  4. Step 4: Simplify right side
    78,036x = 28,346,099,769
  5. Step 5: Solve for x
    x = 28,346,099,769/78,036
  6. Step 6: Final answer
    x = 363,243.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.