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Finding the Third Proportional to 120,052.13 and 162,779.63

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Solution

The third proportional to 120,052.13 and 162,779.63 is: 220,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,052.13 : 162,779.63 = 162,779.63 : x
  2. Step 2: Convert to fraction form
    120,052.13/162,779.63 = 162,779.63/x
  3. Step 3: Cross multiply
    120,052.13x = 162,779.63 × 162,779.63
  4. Step 4: Simplify right side
    120,052.13x = 26,497,206,315.14
  5. Step 5: Solve for x
    x = 26,497,206,315.14/120,052.13
  6. Step 6: Final answer
    x = 220,714.18

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.