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Finding the Third Proportional to 116,907.50 and 176,150.50

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Solution

The third proportional to 116,907.50 and 176,150.50 is: 265,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,907.50 : 176,150.50 = 176,150.50 : x
  2. Step 2: Convert to fraction form
    116,907.50/176,150.50 = 176,150.50/x
  3. Step 3: Cross multiply
    116,907.50x = 176,150.50 × 176,150.50
  4. Step 4: Simplify right side
    116,907.50x = 31,028,998,650.25
  5. Step 5: Solve for x
    x = 31,028,998,650.25/116,907.50
  6. Step 6: Final answer
    x = 265,414.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.