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Finding the Third Proportional to 67,352 and 105,656

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Solution

The third proportional to 67,352 and 105,656 is: 165,744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,352 : 105,656 = 105,656 : x
  2. Step 2: Convert to fraction form
    67,352/105,656 = 105,656/x
  3. Step 3: Cross multiply
    67,352x = 105,656 × 105,656
  4. Step 4: Simplify right side
    67,352x = 11,163,190,336
  5. Step 5: Solve for x
    x = 11,163,190,336/67,352
  6. Step 6: Final answer
    x = 165,744.01

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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.