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Finding the Third Proportional to 114,158.75 and 182,308.13

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Solution

The third proportional to 114,158.75 and 182,308.13 is: 291,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,158.75 : 182,308.13 = 182,308.13 : x
  2. Step 2: Convert to fraction form
    114,158.75/182,308.13 = 182,308.13/x
  3. Step 3: Cross multiply
    114,158.75x = 182,308.13 × 182,308.13
  4. Step 4: Simplify right side
    114,158.75x = 33,236,252,441.02
  5. Step 5: Solve for x
    x = 33,236,252,441.02/114,158.75
  6. Step 6: Final answer
    x = 291,140.65

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.