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Finding the Third Proportional to 96,384 and 148,329

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Solution

The third proportional to 96,384 and 148,329 is: 228,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,384 : 148,329 = 148,329 : x
  2. Step 2: Convert to fraction form
    96,384/148,329 = 148,329/x
  3. Step 3: Cross multiply
    96,384x = 148,329 × 148,329
  4. Step 4: Simplify right side
    96,384x = 22,001,492,241
  5. Step 5: Solve for x
    x = 22,001,492,241/96,384
  6. Step 6: Final answer
    x = 228,269.13

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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.