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Finding the Third Proportional to 125,161.50 and 193,683.75

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Solution

The third proportional to 125,161.50 and 193,683.75 is: 299,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,161.50 : 193,683.75 = 193,683.75 : x
  2. Step 2: Convert to fraction form
    125,161.50/193,683.75 = 193,683.75/x
  3. Step 3: Cross multiply
    125,161.50x = 193,683.75 × 193,683.75
  4. Step 4: Simplify right side
    125,161.50x = 37,513,395,014.06
  5. Step 5: Solve for x
    x = 37,513,395,014.06/125,161.50
  6. Step 6: Final answer
    x = 299,719.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.