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Finding the Third Proportional to 105,041.50 and 153,048.75

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Solution

The third proportional to 105,041.50 and 153,048.75 is: 222,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,041.50 : 153,048.75 = 153,048.75 : x
  2. Step 2: Convert to fraction form
    105,041.50/153,048.75 = 153,048.75/x
  3. Step 3: Cross multiply
    105,041.50x = 153,048.75 × 153,048.75
  4. Step 4: Simplify right side
    105,041.50x = 23,423,919,876.56
  5. Step 5: Solve for x
    x = 23,423,919,876.56/105,041.50
  6. Step 6: Final answer
    x = 222,996.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.