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Finding the Third Proportional to 70,360 and 149,356

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Solution

The third proportional to 70,360 and 149,356 is: 317,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,360 : 149,356 = 149,356 : x
  2. Step 2: Convert to fraction form
    70,360/149,356 = 149,356/x
  3. Step 3: Cross multiply
    70,360x = 149,356 × 149,356
  4. Step 4: Simplify right side
    70,360x = 22,307,214,736
  5. Step 5: Solve for x
    x = 22,307,214,736/70,360
  6. Step 6: Final answer
    x = 317,043.98

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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.