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Finding the Third Proportional to 96,148 and 152,094

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Solution

The third proportional to 96,148 and 152,094 is: 240,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,148 : 152,094 = 152,094 : x
  2. Step 2: Convert to fraction form
    96,148/152,094 = 152,094/x
  3. Step 3: Cross multiply
    96,148x = 152,094 × 152,094
  4. Step 4: Simplify right side
    96,148x = 23,132,584,836
  5. Step 5: Solve for x
    x = 23,132,584,836/96,148
  6. Step 6: Final answer
    x = 240,593.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.