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Finding the Third Proportional to 77,830 and 172,044

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Solution

The third proportional to 77,830 and 172,044 is: 380,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,830 : 172,044 = 172,044 : x
  2. Step 2: Convert to fraction form
    77,830/172,044 = 172,044/x
  3. Step 3: Cross multiply
    77,830x = 172,044 × 172,044
  4. Step 4: Simplify right side
    77,830x = 29,599,137,936
  5. Step 5: Solve for x
    x = 29,599,137,936/77,830
  6. Step 6: Final answer
    x = 380,305.00

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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.