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Finding the Third Proportional to 98,052 and 207,120

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Solution

The third proportional to 98,052 and 207,120 is: 437,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,052 : 207,120 = 207,120 : x
  2. Step 2: Convert to fraction form
    98,052/207,120 = 207,120/x
  3. Step 3: Cross multiply
    98,052x = 207,120 × 207,120
  4. Step 4: Simplify right side
    98,052x = 42,898,694,400
  5. Step 5: Solve for x
    x = 42,898,694,400/98,052
  6. Step 6: Final answer
    x = 437,509.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.