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Finding the Third Proportional to 35,958 and 78,190.13

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Solution

The third proportional to 35,958 and 78,190.13 is: 170,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,958 : 78,190.13 = 78,190.13 : x
  2. Step 2: Convert to fraction form
    35,958/78,190.13 = 78,190.13/x
  3. Step 3: Cross multiply
    35,958x = 78,190.13 × 78,190.13
  4. Step 4: Simplify right side
    35,958x = 6,113,695,647.52
  5. Step 5: Solve for x
    x = 6,113,695,647.52/35,958
  6. Step 6: Final answer
    x = 170,023.24

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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.