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Finding the Third Proportional to 67,748 and 105,497

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Solution

The third proportional to 67,748 and 105,497 is: 164,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,748 : 105,497 = 105,497 : x
  2. Step 2: Convert to fraction form
    67,748/105,497 = 105,497/x
  3. Step 3: Cross multiply
    67,748x = 105,497 × 105,497
  4. Step 4: Simplify right side
    67,748x = 11,129,617,009
  5. Step 5: Solve for x
    x = 11,129,617,009/67,748
  6. Step 6: Final answer
    x = 164,279.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.