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Finding the Third Proportional to 89,083 and 142,057.50

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Solution

The third proportional to 89,083 and 142,057.50 is: 226,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,083 : 142,057.50 = 142,057.50 : x
  2. Step 2: Convert to fraction form
    89,083/142,057.50 = 142,057.50/x
  3. Step 3: Cross multiply
    89,083x = 142,057.50 × 142,057.50
  4. Step 4: Simplify right side
    89,083x = 20,180,333,306.25
  5. Step 5: Solve for x
    x = 20,180,333,306.25/89,083
  6. Step 6: Final answer
    x = 226,534.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.