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Finding the Third Proportional to 137,460.16 and 192,034.55

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Solution

The third proportional to 137,460.16 and 192,034.55 is: 268,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,460.16 : 192,034.55 = 192,034.55 : x
  2. Step 2: Convert to fraction form
    137,460.16/192,034.55 = 192,034.55/x
  3. Step 3: Cross multiply
    137,460.16x = 192,034.55 × 192,034.55
  4. Step 4: Simplify right side
    137,460.16x = 36,877,267,193.49
  5. Step 5: Solve for x
    x = 36,877,267,193.49/137,460.16
  6. Step 6: Final answer
    x = 268,276.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.