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Finding the Third Proportional to 130,110 and 201,074

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Solution

The third proportional to 130,110 and 201,074 is: 310,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,110 : 201,074 = 201,074 : x
  2. Step 2: Convert to fraction form
    130,110/201,074 = 201,074/x
  3. Step 3: Cross multiply
    130,110x = 201,074 × 201,074
  4. Step 4: Simplify right side
    130,110x = 40,430,753,476
  5. Step 5: Solve for x
    x = 40,430,753,476/130,110
  6. Step 6: Final answer
    x = 310,742.86

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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.