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Finding the Third Proportional to 70,434 and 103,770

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Solution

The third proportional to 70,434 and 103,770 is: 152,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434 : 103,770 = 103,770 : x
  2. Step 2: Convert to fraction form
    70,434/103,770 = 103,770/x
  3. Step 3: Cross multiply
    70,434x = 103,770 × 103,770
  4. Step 4: Simplify right side
    70,434x = 10,768,212,900
  5. Step 5: Solve for x
    x = 10,768,212,900/70,434
  6. Step 6: Final answer
    x = 152,883.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.