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Finding the Third Proportional to 89,106.75 and 121,051.13

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Solution

The third proportional to 89,106.75 and 121,051.13 is: 164,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,106.75 : 121,051.13 = 121,051.13 : x
  2. Step 2: Convert to fraction form
    89,106.75/121,051.13 = 121,051.13/x
  3. Step 3: Cross multiply
    89,106.75x = 121,051.13 × 121,051.13
  4. Step 4: Simplify right side
    89,106.75x = 14,653,374,863.77
  5. Step 5: Solve for x
    x = 14,653,374,863.77/89,106.75
  6. Step 6: Final answer
    x = 164,447.42

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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.