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Finding the Third Proportional to 42,217 and 65,881.50

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Solution

The third proportional to 42,217 and 65,881.50 is: 102,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,217 : 65,881.50 = 65,881.50 : x
  2. Step 2: Convert to fraction form
    42,217/65,881.50 = 65,881.50/x
  3. Step 3: Cross multiply
    42,217x = 65,881.50 × 65,881.50
  4. Step 4: Simplify right side
    42,217x = 4,340,372,042.25
  5. Step 5: Solve for x
    x = 4,340,372,042.25/42,217
  6. Step 6: Final answer
    x = 102,811.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.