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Finding the Third Proportional to 106,785 and 154,669.50

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Solution

The third proportional to 106,785 and 154,669.50 is: 224,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,785 : 154,669.50 = 154,669.50 : x
  2. Step 2: Convert to fraction form
    106,785/154,669.50 = 154,669.50/x
  3. Step 3: Cross multiply
    106,785x = 154,669.50 × 154,669.50
  4. Step 4: Simplify right side
    106,785x = 23,922,654,230.25
  5. Step 5: Solve for x
    x = 23,922,654,230.25/106,785
  6. Step 6: Final answer
    x = 224,026.35

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.