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Finding the Third Proportional to 35,714 and 78,434

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Solution

The third proportional to 35,714 and 78,434 is: 172,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714 : 78,434 = 78,434 : x
  2. Step 2: Convert to fraction form
    35,714/78,434 = 78,434/x
  3. Step 3: Cross multiply
    35,714x = 78,434 × 78,434
  4. Step 4: Simplify right side
    35,714x = 6,151,892,356
  5. Step 5: Solve for x
    x = 6,151,892,356/35,714
  6. Step 6: Final answer
    x = 172,254.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.