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Finding the Third Proportional to 101,037 and 147,113

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Solution

The third proportional to 101,037 and 147,113 is: 214,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,037 : 147,113 = 147,113 : x
  2. Step 2: Convert to fraction form
    101,037/147,113 = 147,113/x
  3. Step 3: Cross multiply
    101,037x = 147,113 × 147,113
  4. Step 4: Simplify right side
    101,037x = 21,642,234,769
  5. Step 5: Solve for x
    x = 21,642,234,769/101,037
  6. Step 6: Final answer
    x = 214,201.08

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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.