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Finding the Third Proportional to 70,473 and 107,942

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Solution

The third proportional to 70,473 and 107,942 is: 165,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,473 : 107,942 = 107,942 : x
  2. Step 2: Convert to fraction form
    70,473/107,942 = 107,942/x
  3. Step 3: Cross multiply
    70,473x = 107,942 × 107,942
  4. Step 4: Simplify right side
    70,473x = 11,651,475,364
  5. Step 5: Solve for x
    x = 11,651,475,364/70,473
  6. Step 6: Final answer
    x = 165,332.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.