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Finding the Third Proportional to 112,757 and 165,444

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Solution

The third proportional to 112,757 and 165,444 is: 242,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,757 : 165,444 = 165,444 : x
  2. Step 2: Convert to fraction form
    112,757/165,444 = 165,444/x
  3. Step 3: Cross multiply
    112,757x = 165,444 × 165,444
  4. Step 4: Simplify right side
    112,757x = 27,371,717,136
  5. Step 5: Solve for x
    x = 27,371,717,136/112,757
  6. Step 6: Final answer
    x = 242,749.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.