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Finding the Third Proportional to 101,590 and 220,130

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Solution

The third proportional to 101,590 and 220,130 is: 476,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,590 : 220,130 = 220,130 : x
  2. Step 2: Convert to fraction form
    101,590/220,130 = 220,130/x
  3. Step 3: Cross multiply
    101,590x = 220,130 × 220,130
  4. Step 4: Simplify right side
    101,590x = 48,457,216,900
  5. Step 5: Solve for x
    x = 48,457,216,900/101,590
  6. Step 6: Final answer
    x = 476,988.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.