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Finding the Third Proportional to 91,148 and 137,982

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Solution

The third proportional to 91,148 and 137,982 is: 208,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,148 : 137,982 = 137,982 : x
  2. Step 2: Convert to fraction form
    91,148/137,982 = 137,982/x
  3. Step 3: Cross multiply
    91,148x = 137,982 × 137,982
  4. Step 4: Simplify right side
    91,148x = 19,039,032,324
  5. Step 5: Solve for x
    x = 19,039,032,324/91,148
  6. Step 6: Final answer
    x = 208,880.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.