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Finding the Third Proportional to 51,051.09 and 112,281.19

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Solution

The third proportional to 51,051.09 and 112,281.19 is: 246,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,051.09 : 112,281.19 = 112,281.19 : x
  2. Step 2: Convert to fraction form
    51,051.09/112,281.19 = 112,281.19/x
  3. Step 3: Cross multiply
    51,051.09x = 112,281.19 × 112,281.19
  4. Step 4: Simplify right side
    51,051.09x = 12,607,065,066.41
  5. Step 5: Solve for x
    x = 12,607,065,066.41/51,051.09
  6. Step 6: Final answer
    x = 246,949.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.