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Finding the Third Proportional to 139,062 and 299,089.50

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Solution

The third proportional to 139,062 and 299,089.50 is: 643,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,062 : 299,089.50 = 299,089.50 : x
  2. Step 2: Convert to fraction form
    139,062/299,089.50 = 299,089.50/x
  3. Step 3: Cross multiply
    139,062x = 299,089.50 × 299,089.50
  4. Step 4: Simplify right side
    139,062x = 89,454,529,010.25
  5. Step 5: Solve for x
    x = 89,454,529,010.25/139,062
  6. Step 6: Final answer
    x = 643,270.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.