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Finding the Third Proportional to 103,587.75 and 147,908.25

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Solution

The third proportional to 103,587.75 and 147,908.25 is: 211,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,587.75 : 147,908.25 = 147,908.25 : x
  2. Step 2: Convert to fraction form
    103,587.75/147,908.25 = 147,908.25/x
  3. Step 3: Cross multiply
    103,587.75x = 147,908.25 × 147,908.25
  4. Step 4: Simplify right side
    103,587.75x = 21,876,850,418.06
  5. Step 5: Solve for x
    x = 21,876,850,418.06/103,587.75
  6. Step 6: Final answer
    x = 211,191.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.