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Finding the Third Proportional to 106,011.28 and 163,938.09

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Solution

The third proportional to 106,011.28 and 163,938.09 is: 253,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,011.28 : 163,938.09 = 163,938.09 : x
  2. Step 2: Convert to fraction form
    106,011.28/163,938.09 = 163,938.09/x
  3. Step 3: Cross multiply
    106,011.28x = 163,938.09 × 163,938.09
  4. Step 4: Simplify right side
    106,011.28x = 26,875,698,582.38
  5. Step 5: Solve for x
    x = 26,875,698,582.38/106,011.28
  6. Step 6: Final answer
    x = 253,517.35

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