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Finding the Third Proportional to 120,903.38 and 186,913.13

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Solution

The third proportional to 120,903.38 and 186,913.13 is: 288,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,903.38 : 186,913.13 = 186,913.13 : x
  2. Step 2: Convert to fraction form
    120,903.38/186,913.13 = 186,913.13/x
  3. Step 3: Cross multiply
    120,903.38x = 186,913.13 × 186,913.13
  4. Step 4: Simplify right side
    120,903.38x = 34,936,516,297.27
  5. Step 5: Solve for x
    x = 34,936,516,297.27/120,903.38
  6. Step 6: Final answer
    x = 288,962.29

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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.