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Finding the Third Proportional to 104,330 and 152,121

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Solution

The third proportional to 104,330 and 152,121 is: 221,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,330 : 152,121 = 152,121 : x
  2. Step 2: Convert to fraction form
    104,330/152,121 = 152,121/x
  3. Step 3: Cross multiply
    104,330x = 152,121 × 152,121
  4. Step 4: Simplify right side
    104,330x = 23,140,798,641
  5. Step 5: Solve for x
    x = 23,140,798,641/104,330
  6. Step 6: Final answer
    x = 221,803.88

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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.