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Finding the Third Proportional to 129,058.50 and 195,530.25

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Solution

The third proportional to 129,058.50 and 195,530.25 is: 296,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,058.50 : 195,530.25 = 195,530.25 : x
  2. Step 2: Convert to fraction form
    129,058.50/195,530.25 = 195,530.25/x
  3. Step 3: Cross multiply
    129,058.50x = 195,530.25 × 195,530.25
  4. Step 4: Simplify right side
    129,058.50x = 38,232,078,665.06
  5. Step 5: Solve for x
    x = 38,232,078,665.06/129,058.50
  6. Step 6: Final answer
    x = 296,238.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.