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Finding the Third Proportional to 130,123 and 201,094

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Solution

The third proportional to 130,123 and 201,094 is: 310,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,123 : 201,094 = 201,094 : x
  2. Step 2: Convert to fraction form
    130,123/201,094 = 201,094/x
  3. Step 3: Cross multiply
    130,123x = 201,094 × 201,094
  4. Step 4: Simplify right side
    130,123x = 40,438,796,836
  5. Step 5: Solve for x
    x = 40,438,796,836/130,123
  6. Step 6: Final answer
    x = 310,773.63

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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.