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Finding the Third Proportional to 103,697 and 160,406

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Solution

The third proportional to 103,697 and 160,406 is: 248,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 160,406 = 160,406 : x
  2. Step 2: Convert to fraction form
    103,697/160,406 = 160,406/x
  3. Step 3: Cross multiply
    103,697x = 160,406 × 160,406
  4. Step 4: Simplify right side
    103,697x = 25,730,084,836
  5. Step 5: Solve for x
    x = 25,730,084,836/103,697
  6. Step 6: Final answer
    x = 248,127.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.