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Finding the Third Proportional to 130,163 and 201,144

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Solution

The third proportional to 130,163 and 201,144 is: 310,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,163 : 201,144 = 201,144 : x
  2. Step 2: Convert to fraction form
    130,163/201,144 = 201,144/x
  3. Step 3: Cross multiply
    130,163x = 201,144 × 201,144
  4. Step 4: Simplify right side
    130,163x = 40,458,908,736
  5. Step 5: Solve for x
    x = 40,458,908,736/130,163
  6. Step 6: Final answer
    x = 310,832.64

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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.