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Finding the Third Proportional to 98,181 and 148,092.75

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Solution

The third proportional to 98,181 and 148,092.75 is: 223,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,181 : 148,092.75 = 148,092.75 : x
  2. Step 2: Convert to fraction form
    98,181/148,092.75 = 148,092.75/x
  3. Step 3: Cross multiply
    98,181x = 148,092.75 × 148,092.75
  4. Step 4: Simplify right side
    98,181x = 21,931,462,602.56
  5. Step 5: Solve for x
    x = 21,931,462,602.56/98,181
  6. Step 6: Final answer
    x = 223,377.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.