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Finding the Third Proportional to 42,583 and 99,461.50

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Solution

The third proportional to 42,583 and 99,461.50 is: 232,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,583 : 99,461.50 = 99,461.50 : x
  2. Step 2: Convert to fraction form
    42,583/99,461.50 = 99,461.50/x
  3. Step 3: Cross multiply
    42,583x = 99,461.50 × 99,461.50
  4. Step 4: Simplify right side
    42,583x = 9,892,589,982.25
  5. Step 5: Solve for x
    x = 9,892,589,982.25/42,583
  6. Step 6: Final answer
    x = 232,313.13

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.