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Finding the Third Proportional to 96,134 and 207,058.50

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Solution

The third proportional to 96,134 and 207,058.50 is: 445,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,134 : 207,058.50 = 207,058.50 : x
  2. Step 2: Convert to fraction form
    96,134/207,058.50 = 207,058.50/x
  3. Step 3: Cross multiply
    96,134x = 207,058.50 × 207,058.50
  4. Step 4: Simplify right side
    96,134x = 42,873,222,422.25
  5. Step 5: Solve for x
    x = 42,873,222,422.25/96,134
  6. Step 6: Final answer
    x = 445,973.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.