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Finding the Third Proportional to 137,091 and 317,671.50

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Solution

The third proportional to 137,091 and 317,671.50 is: 736,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,091 : 317,671.50 = 317,671.50 : x
  2. Step 2: Convert to fraction form
    137,091/317,671.50 = 317,671.50/x
  3. Step 3: Cross multiply
    137,091x = 317,671.50 × 317,671.50
  4. Step 4: Simplify right side
    137,091x = 100,915,181,912.25
  5. Step 5: Solve for x
    x = 100,915,181,912.25/137,091
  6. Step 6: Final answer
    x = 736,118.21

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.