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Finding the Third Proportional to 95,971.50 and 145,278.56

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Solution

The third proportional to 95,971.50 and 145,278.56 is: 219,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,971.50 : 145,278.56 = 145,278.56 : x
  2. Step 2: Convert to fraction form
    95,971.50/145,278.56 = 145,278.56/x
  3. Step 3: Cross multiply
    95,971.50x = 145,278.56 × 145,278.56
  4. Step 4: Simplify right side
    95,971.50x = 21,105,860,722.07
  5. Step 5: Solve for x
    x = 21,105,860,722.07/95,971.50
  6. Step 6: Final answer
    x = 219,918.00

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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.