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Finding the Third Proportional to 129,363 and 193,248

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Solution

The third proportional to 129,363 and 193,248 is: 288,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,363 : 193,248 = 193,248 : x
  2. Step 2: Convert to fraction form
    129,363/193,248 = 193,248/x
  3. Step 3: Cross multiply
    129,363x = 193,248 × 193,248
  4. Step 4: Simplify right side
    129,363x = 37,344,789,504
  5. Step 5: Solve for x
    x = 37,344,789,504/129,363
  6. Step 6: Final answer
    x = 288,682.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.