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Finding the Third Proportional to 96,257 and 148,145

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Solution

The third proportional to 96,257 and 148,145 is: 228,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,257 : 148,145 = 148,145 : x
  2. Step 2: Convert to fraction form
    96,257/148,145 = 148,145/x
  3. Step 3: Cross multiply
    96,257x = 148,145 × 148,145
  4. Step 4: Simplify right side
    96,257x = 21,946,941,025
  5. Step 5: Solve for x
    x = 21,946,941,025/96,257
  6. Step 6: Final answer
    x = 228,003.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.