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Finding the Third Proportional to 96,345 and 148,275

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Solution

The third proportional to 96,345 and 148,275 is: 228,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,345 : 148,275 = 148,275 : x
  2. Step 2: Convert to fraction form
    96,345/148,275 = 148,275/x
  3. Step 3: Cross multiply
    96,345x = 148,275 × 148,275
  4. Step 4: Simplify right side
    96,345x = 21,985,475,625
  5. Step 5: Solve for x
    x = 21,985,475,625/96,345
  6. Step 6: Final answer
    x = 228,195.29

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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.