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Finding the Third Proportional to 114,691.50 and 158,482.50

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Solution

The third proportional to 114,691.50 and 158,482.50 is: 218,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,691.50 : 158,482.50 = 158,482.50 : x
  2. Step 2: Convert to fraction form
    114,691.50/158,482.50 = 158,482.50/x
  3. Step 3: Cross multiply
    114,691.50x = 158,482.50 × 158,482.50
  4. Step 4: Simplify right side
    114,691.50x = 25,116,702,806.25
  5. Step 5: Solve for x
    x = 25,116,702,806.25/114,691.50
  6. Step 6: Final answer
    x = 218,993.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.