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Finding the Third Proportional to 101,154 and 145,707

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Solution

The third proportional to 101,154 and 145,707 is: 209,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,154 : 145,707 = 145,707 : x
  2. Step 2: Convert to fraction form
    101,154/145,707 = 145,707/x
  3. Step 3: Cross multiply
    101,154x = 145,707 × 145,707
  4. Step 4: Simplify right side
    101,154x = 21,230,529,849
  5. Step 5: Solve for x
    x = 21,230,529,849/101,154
  6. Step 6: Final answer
    x = 209,883.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.