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Finding the Third Proportional to 92,095.31 and 137,574.28

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Solution

The third proportional to 92,095.31 and 137,574.28 is: 205,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,095.31 : 137,574.28 = 137,574.28 : x
  2. Step 2: Convert to fraction form
    92,095.31/137,574.28 = 137,574.28/x
  3. Step 3: Cross multiply
    92,095.31x = 137,574.28 × 137,574.28
  4. Step 4: Simplify right side
    92,095.31x = 18,926,682,861.45
  5. Step 5: Solve for x
    x = 18,926,682,861.45/92,095.31
  6. Step 6: Final answer
    x = 205,511.90

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