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Finding the Third Proportional to 75,709.69 and 106,160.63

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Solution

The third proportional to 75,709.69 and 106,160.63 is: 148,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709.69 : 106,160.63 = 106,160.63 : x
  2. Step 2: Convert to fraction form
    75,709.69/106,160.63 = 106,160.63/x
  3. Step 3: Cross multiply
    75,709.69x = 106,160.63 × 106,160.63
  4. Step 4: Simplify right side
    75,709.69x = 11,270,078,300.39
  5. Step 5: Solve for x
    x = 11,270,078,300.39/75,709.69
  6. Step 6: Final answer
    x = 148,859.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.