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Finding the Third Proportional to 120,693 and 168,816.50

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Solution

The third proportional to 120,693 and 168,816.50 is: 236,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,693 : 168,816.50 = 168,816.50 : x
  2. Step 2: Convert to fraction form
    120,693/168,816.50 = 168,816.50/x
  3. Step 3: Cross multiply
    120,693x = 168,816.50 × 168,816.50
  4. Step 4: Simplify right side
    120,693x = 28,499,010,672.25
  5. Step 5: Solve for x
    x = 28,499,010,672.25/120,693
  6. Step 6: Final answer
    x = 236,128.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.