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Finding the Third Proportional to 35,945 and 78,187

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Solution

The third proportional to 35,945 and 78,187 is: 170,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,945 : 78,187 = 78,187 : x
  2. Step 2: Convert to fraction form
    35,945/78,187 = 78,187/x
  3. Step 3: Cross multiply
    35,945x = 78,187 × 78,187
  4. Step 4: Simplify right side
    35,945x = 6,113,206,969
  5. Step 5: Solve for x
    x = 6,113,206,969/35,945
  6. Step 6: Final answer
    x = 170,071.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.