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Finding the Third Proportional to 85,368.94 and 141,562.69

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Solution

The third proportional to 85,368.94 and 141,562.69 is: 234,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,368.94 : 141,562.69 = 141,562.69 : x
  2. Step 2: Convert to fraction form
    85,368.94/141,562.69 = 141,562.69/x
  3. Step 3: Cross multiply
    85,368.94x = 141,562.69 × 141,562.69
  4. Step 4: Simplify right side
    85,368.94x = 20,039,994,492.22
  5. Step 5: Solve for x
    x = 20,039,994,492.22/85,368.94
  6. Step 6: Final answer
    x = 234,745.74

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.