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Finding the Third Proportional to 101,038 and 147,114

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Solution

The third proportional to 101,038 and 147,114 is: 214,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,038 : 147,114 = 147,114 : x
  2. Step 2: Convert to fraction form
    101,038/147,114 = 147,114/x
  3. Step 3: Cross multiply
    101,038x = 147,114 × 147,114
  4. Step 4: Simplify right side
    101,038x = 21,642,528,996
  5. Step 5: Solve for x
    x = 21,642,528,996/101,038
  6. Step 6: Final answer
    x = 214,201.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.