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Finding the Third Proportional to 67,347 and 105,647.63

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Solution

The third proportional to 67,347 and 105,647.63 is: 165,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,347 : 105,647.63 = 105,647.63 : x
  2. Step 2: Convert to fraction form
    67,347/105,647.63 = 105,647.63/x
  3. Step 3: Cross multiply
    67,347x = 105,647.63 × 105,647.63
  4. Step 4: Simplify right side
    67,347x = 11,161,420,668.14
  5. Step 5: Solve for x
    x = 11,161,420,668.14/67,347
  6. Step 6: Final answer
    x = 165,730.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.