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Finding the Third Proportional to 103,704 and 160,417

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Solution

The third proportional to 103,704 and 160,417 is: 248,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,704 : 160,417 = 160,417 : x
  2. Step 2: Convert to fraction form
    103,704/160,417 = 160,417/x
  3. Step 3: Cross multiply
    103,704x = 160,417 × 160,417
  4. Step 4: Simplify right side
    103,704x = 25,733,613,889
  5. Step 5: Solve for x
    x = 25,733,613,889/103,704
  6. Step 6: Final answer
    x = 248,144.85

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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.