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Finding the Third Proportional to 78,802 and 172,913

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Solution

The third proportional to 78,802 and 172,913 is: 379,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,802 : 172,913 = 172,913 : x
  2. Step 2: Convert to fraction form
    78,802/172,913 = 172,913/x
  3. Step 3: Cross multiply
    78,802x = 172,913 × 172,913
  4. Step 4: Simplify right side
    78,802x = 29,898,905,569
  5. Step 5: Solve for x
    x = 29,898,905,569/78,802
  6. Step 6: Final answer
    x = 379,418.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.