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Finding the Third Proportional to 42,453 and 89,037

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Solution

The third proportional to 42,453 and 89,037 is: 186,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,453 : 89,037 = 89,037 : x
  2. Step 2: Convert to fraction form
    42,453/89,037 = 89,037/x
  3. Step 3: Cross multiply
    42,453x = 89,037 × 89,037
  4. Step 4: Simplify right side
    42,453x = 7,927,587,369
  5. Step 5: Solve for x
    x = 7,927,587,369/42,453
  6. Step 6: Final answer
    x = 186,737.98

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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.