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Finding the Third Proportional to 103,612 and 229,004

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Solution

The third proportional to 103,612 and 229,004 is: 506,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,612 : 229,004 = 229,004 : x
  2. Step 2: Convert to fraction form
    103,612/229,004 = 229,004/x
  3. Step 3: Cross multiply
    103,612x = 229,004 × 229,004
  4. Step 4: Simplify right side
    103,612x = 52,442,832,016
  5. Step 5: Solve for x
    x = 52,442,832,016/103,612
  6. Step 6: Final answer
    x = 506,146.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.