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Finding the Third Proportional to 42,298 and 61,447.50

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Solution

The third proportional to 42,298 and 61,447.50 is: 89,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,298 : 61,447.50 = 61,447.50 : x
  2. Step 2: Convert to fraction form
    42,298/61,447.50 = 61,447.50/x
  3. Step 3: Cross multiply
    42,298x = 61,447.50 × 61,447.50
  4. Step 4: Simplify right side
    42,298x = 3,775,795,256.25
  5. Step 5: Solve for x
    x = 3,775,795,256.25/42,298
  6. Step 6: Final answer
    x = 89,266.52

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.