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Finding the Third Proportional to 98,600 and 160,988

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Solution

The third proportional to 98,600 and 160,988 is: 262,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,600 : 160,988 = 160,988 : x
  2. Step 2: Convert to fraction form
    98,600/160,988 = 160,988/x
  3. Step 3: Cross multiply
    98,600x = 160,988 × 160,988
  4. Step 4: Simplify right side
    98,600x = 25,917,136,144
  5. Step 5: Solve for x
    x = 25,917,136,144/98,600
  6. Step 6: Final answer
    x = 262,851.28

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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.