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Finding the Third Proportional to 75,148 and 160,960

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Solution

The third proportional to 75,148 and 160,960 is: 344,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,148 : 160,960 = 160,960 : x
  2. Step 2: Convert to fraction form
    75,148/160,960 = 160,960/x
  3. Step 3: Cross multiply
    75,148x = 160,960 × 160,960
  4. Step 4: Simplify right side
    75,148x = 25,908,121,600
  5. Step 5: Solve for x
    x = 25,908,121,600/75,148
  6. Step 6: Final answer
    x = 344,761.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.