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Finding the Third Proportional to 90,131 and 137,141

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Solution

The third proportional to 90,131 and 137,141 is: 208,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,131 : 137,141 = 137,141 : x
  2. Step 2: Convert to fraction form
    90,131/137,141 = 137,141/x
  3. Step 3: Cross multiply
    90,131x = 137,141 × 137,141
  4. Step 4: Simplify right side
    90,131x = 18,807,653,881
  5. Step 5: Solve for x
    x = 18,807,653,881/90,131
  6. Step 6: Final answer
    x = 208,670.20

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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.