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Finding the Third Proportional to 67,788 and 148,656

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Solution

The third proportional to 67,788 and 148,656 is: 325,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,788 : 148,656 = 148,656 : x
  2. Step 2: Convert to fraction form
    67,788/148,656 = 148,656/x
  3. Step 3: Cross multiply
    67,788x = 148,656 × 148,656
  4. Step 4: Simplify right side
    67,788x = 22,098,606,336
  5. Step 5: Solve for x
    x = 22,098,606,336/67,788
  6. Step 6: Final answer
    x = 325,995.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.