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Finding the Third Proportional to 104,001.75 and 148,621.50

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Solution

The third proportional to 104,001.75 and 148,621.50 is: 212,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,001.75 : 148,621.50 = 148,621.50 : x
  2. Step 2: Convert to fraction form
    104,001.75/148,621.50 = 148,621.50/x
  3. Step 3: Cross multiply
    104,001.75x = 148,621.50 × 148,621.50
  4. Step 4: Simplify right side
    104,001.75x = 22,088,350,262.25
  5. Step 5: Solve for x
    x = 22,088,350,262.25/104,001.75
  6. Step 6: Final answer
    x = 212,384.41

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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.