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Finding the Third Proportional to 102,351.75 and 146,560.50

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Solution

The third proportional to 102,351.75 and 146,560.50 is: 209,864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,351.75 : 146,560.50 = 146,560.50 : x
  2. Step 2: Convert to fraction form
    102,351.75/146,560.50 = 146,560.50/x
  3. Step 3: Cross multiply
    102,351.75x = 146,560.50 × 146,560.50
  4. Step 4: Simplify right side
    102,351.75x = 21,479,980,160.25
  5. Step 5: Solve for x
    x = 21,479,980,160.25/102,351.75
  6. Step 6: Final answer
    x = 209,864.32

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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.