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Finding the Third Proportional to 96,396 and 148,347

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Solution

The third proportional to 96,396 and 148,347 is: 228,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,396 : 148,347 = 148,347 : x
  2. Step 2: Convert to fraction form
    96,396/148,347 = 148,347/x
  3. Step 3: Cross multiply
    96,396x = 148,347 × 148,347
  4. Step 4: Simplify right side
    96,396x = 22,006,832,409
  5. Step 5: Solve for x
    x = 22,006,832,409/96,396
  6. Step 6: Final answer
    x = 228,296.12

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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.