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Finding the Third Proportional to 70,383.94 and 103,709.53

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Solution

The third proportional to 70,383.94 and 103,709.53 is: 152,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,383.94 : 103,709.53 = 103,709.53 : x
  2. Step 2: Convert to fraction form
    70,383.94/103,709.53 = 103,709.53/x
  3. Step 3: Cross multiply
    70,383.94x = 103,709.53 × 103,709.53
  4. Step 4: Simplify right side
    70,383.94x = 10,755,666,872.09
  5. Step 5: Solve for x
    x = 10,755,666,872.09/70,383.94
  6. Step 6: Final answer
    x = 152,814.23

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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.