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Finding the Third Proportional to 139,563 and 237,775.50

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Solution

The third proportional to 139,563 and 237,775.50 is: 405,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,563 : 237,775.50 = 237,775.50 : x
  2. Step 2: Convert to fraction form
    139,563/237,775.50 = 237,775.50/x
  3. Step 3: Cross multiply
    139,563x = 237,775.50 × 237,775.50
  4. Step 4: Simplify right side
    139,563x = 56,537,188,400.25
  5. Step 5: Solve for x
    x = 56,537,188,400.25/139,563
  6. Step 6: Final answer
    x = 405,101.56

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.