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Finding the Third Proportional to 108,612 and 159,030

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Solution

The third proportional to 108,612 and 159,030 is: 232,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,612 : 159,030 = 159,030 : x
  2. Step 2: Convert to fraction form
    108,612/159,030 = 159,030/x
  3. Step 3: Cross multiply
    108,612x = 159,030 × 159,030
  4. Step 4: Simplify right side
    108,612x = 25,290,540,900
  5. Step 5: Solve for x
    x = 25,290,540,900/108,612
  6. Step 6: Final answer
    x = 232,852.18

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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.