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Finding the Third Proportional to 91,168.50 and 137,970

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Solution

The third proportional to 91,168.50 and 137,970 is: 208,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,168.50 : 137,970 = 137,970 : x
  2. Step 2: Convert to fraction form
    91,168.50/137,970 = 137,970/x
  3. Step 3: Cross multiply
    91,168.50x = 137,970 × 137,970
  4. Step 4: Simplify right side
    91,168.50x = 19,035,720,900
  5. Step 5: Solve for x
    x = 19,035,720,900/91,168.50
  6. Step 6: Final answer
    x = 208,797.13

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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.