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Finding the Third Proportional to 114,656.50 and 173,719

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Solution

The third proportional to 114,656.50 and 173,719 is: 263,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,656.50 : 173,719 = 173,719 : x
  2. Step 2: Convert to fraction form
    114,656.50/173,719 = 173,719/x
  3. Step 3: Cross multiply
    114,656.50x = 173,719 × 173,719
  4. Step 4: Simplify right side
    114,656.50x = 30,178,290,961
  5. Step 5: Solve for x
    x = 30,178,290,961/114,656.50
  6. Step 6: Final answer
    x = 263,206.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.