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Finding the Third Proportional to 42,461 and 89,053

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Solution

The third proportional to 42,461 and 89,053 is: 186,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,461 : 89,053 = 89,053 : x
  2. Step 2: Convert to fraction form
    42,461/89,053 = 89,053/x
  3. Step 3: Cross multiply
    42,461x = 89,053 × 89,053
  4. Step 4: Simplify right side
    42,461x = 7,930,436,809
  5. Step 5: Solve for x
    x = 7,930,436,809/42,461
  6. Step 6: Final answer
    x = 186,769.90

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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.