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Finding the Third Proportional to 83,670.19 and 127,467.38

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Solution

The third proportional to 83,670.19 and 127,467.38 is: 194,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670.19 : 127,467.38 = 127,467.38 : x
  2. Step 2: Convert to fraction form
    83,670.19/127,467.38 = 127,467.38/x
  3. Step 3: Cross multiply
    83,670.19x = 127,467.38 × 127,467.38
  4. Step 4: Simplify right side
    83,670.19x = 16,247,931,689.39
  5. Step 5: Solve for x
    x = 16,247,931,689.39/83,670.19
  6. Step 6: Final answer
    x = 194,190.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.