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Finding the Third Proportional to 100,024.88 and 146,083.50

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Solution

The third proportional to 100,024.88 and 146,083.50 is: 213,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.88 : 146,083.50 = 146,083.50 : x
  2. Step 2: Convert to fraction form
    100,024.88/146,083.50 = 146,083.50/x
  3. Step 3: Cross multiply
    100,024.88x = 146,083.50 × 146,083.50
  4. Step 4: Simplify right side
    100,024.88x = 21,340,388,972.25
  5. Step 5: Solve for x
    x = 21,340,388,972.25/100,024.88
  6. Step 6: Final answer
    x = 213,350.82

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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.