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Finding the Third Proportional to 61,808 and 82,870.50

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Solution

The third proportional to 61,808 and 82,870.50 is: 111,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,808 : 82,870.50 = 82,870.50 : x
  2. Step 2: Convert to fraction form
    61,808/82,870.50 = 82,870.50/x
  3. Step 3: Cross multiply
    61,808x = 82,870.50 × 82,870.50
  4. Step 4: Simplify right side
    61,808x = 6,867,519,770.25
  5. Step 5: Solve for x
    x = 6,867,519,770.25/61,808
  6. Step 6: Final answer
    x = 111,110.53

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.