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Finding the Third Proportional to 42,357.50 and 89,083

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Solution

The third proportional to 42,357.50 and 89,083 is: 187,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,357.50 : 89,083 = 89,083 : x
  2. Step 2: Convert to fraction form
    42,357.50/89,083 = 89,083/x
  3. Step 3: Cross multiply
    42,357.50x = 89,083 × 89,083
  4. Step 4: Simplify right side
    42,357.50x = 7,935,780,889
  5. Step 5: Solve for x
    x = 7,935,780,889/42,357.50
  6. Step 6: Final answer
    x = 187,352.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.