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Finding the Third Proportional to 42,063.75 and 92,875.50

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Solution

The third proportional to 42,063.75 and 92,875.50 is: 205,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,063.75 : 92,875.50 = 92,875.50 : x
  2. Step 2: Convert to fraction form
    42,063.75/92,875.50 = 92,875.50/x
  3. Step 3: Cross multiply
    42,063.75x = 92,875.50 × 92,875.50
  4. Step 4: Simplify right side
    42,063.75x = 8,625,858,500.25
  5. Step 5: Solve for x
    x = 8,625,858,500.25/42,063.75
  6. Step 6: Final answer
    x = 205,066.32

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.