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Finding the Third Proportional to 35,070 and 76,137

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Solution

The third proportional to 35,070 and 76,137 is: 165,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,070 : 76,137 = 76,137 : x
  2. Step 2: Convert to fraction form
    35,070/76,137 = 76,137/x
  3. Step 3: Cross multiply
    35,070x = 76,137 × 76,137
  4. Step 4: Simplify right side
    35,070x = 5,796,842,769
  5. Step 5: Solve for x
    x = 5,796,842,769/35,070
  6. Step 6: Final answer
    x = 165,293.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.