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Finding the Third Proportional to 98,602 and 160,991

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Solution

The third proportional to 98,602 and 160,991 is: 262,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,602 : 160,991 = 160,991 : x
  2. Step 2: Convert to fraction form
    98,602/160,991 = 160,991/x
  3. Step 3: Cross multiply
    98,602x = 160,991 × 160,991
  4. Step 4: Simplify right side
    98,602x = 25,918,102,081
  5. Step 5: Solve for x
    x = 25,918,102,081/98,602
  6. Step 6: Final answer
    x = 262,855.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.