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Finding the Third Proportional to 112,983.19 and 154,927.13

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Solution

The third proportional to 112,983.19 and 154,927.13 is: 212,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,983.19 : 154,927.13 = 154,927.13 : x
  2. Step 2: Convert to fraction form
    112,983.19/154,927.13 = 154,927.13/x
  3. Step 3: Cross multiply
    112,983.19x = 154,927.13 × 154,927.13
  4. Step 4: Simplify right side
    112,983.19x = 24,002,414,060.77
  5. Step 5: Solve for x
    x = 24,002,414,060.77/112,983.19
  6. Step 6: Final answer
    x = 212,442.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.