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Finding the Third Proportional to 139,261 and 212,155.50

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Solution

The third proportional to 139,261 and 212,155.50 is: 323,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,261 : 212,155.50 = 212,155.50 : x
  2. Step 2: Convert to fraction form
    139,261/212,155.50 = 212,155.50/x
  3. Step 3: Cross multiply
    139,261x = 212,155.50 × 212,155.50
  4. Step 4: Simplify right side
    139,261x = 45,009,956,180.25
  5. Step 5: Solve for x
    x = 45,009,956,180.25/139,261
  6. Step 6: Final answer
    x = 323,205.75

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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.