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Finding the Third Proportional to 106,815.38 and 166,056.19

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Solution

The third proportional to 106,815.38 and 166,056.19 is: 258,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,815.38 : 166,056.19 = 166,056.19 : x
  2. Step 2: Convert to fraction form
    106,815.38/166,056.19 = 166,056.19/x
  3. Step 3: Cross multiply
    106,815.38x = 166,056.19 × 166,056.19
  4. Step 4: Simplify right side
    106,815.38x = 27,574,657,407.04
  5. Step 5: Solve for x
    x = 27,574,657,407.04/106,815.38
  6. Step 6: Final answer
    x = 258,152.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.