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Finding the Third Proportional to 98,604 and 160,201.13

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Solution

The third proportional to 98,604 and 160,201.13 is: 260,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,604 : 160,201.13 = 160,201.13 : x
  2. Step 2: Convert to fraction form
    98,604/160,201.13 = 160,201.13/x
  3. Step 3: Cross multiply
    98,604x = 160,201.13 × 160,201.13
  4. Step 4: Simplify right side
    98,604x = 25,664,400,451.27
  5. Step 5: Solve for x
    x = 25,664,400,451.27/98,604
  6. Step 6: Final answer
    x = 260,277.48

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.