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Finding the Third Proportional to 104,458 and 156,920

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Solution

The third proportional to 104,458 and 156,920 is: 235,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,458 : 156,920 = 156,920 : x
  2. Step 2: Convert to fraction form
    104,458/156,920 = 156,920/x
  3. Step 3: Cross multiply
    104,458x = 156,920 × 156,920
  4. Step 4: Simplify right side
    104,458x = 24,623,886,400
  5. Step 5: Solve for x
    x = 24,623,886,400/104,458
  6. Step 6: Final answer
    x = 235,730.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.