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Finding the Third Proportional to 70,700 and 149,656

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Solution

The third proportional to 70,700 and 149,656 is: 316,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700 : 149,656 = 149,656 : x
  2. Step 2: Convert to fraction form
    70,700/149,656 = 149,656/x
  3. Step 3: Cross multiply
    70,700x = 149,656 × 149,656
  4. Step 4: Simplify right side
    70,700x = 22,396,918,336
  5. Step 5: Solve for x
    x = 22,396,918,336/70,700
  6. Step 6: Final answer
    x = 316,788.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.