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Finding the Third Proportional to 42,582 and 87,898.50

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Solution

The third proportional to 42,582 and 87,898.50 is: 181,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,582 : 87,898.50 = 87,898.50 : x
  2. Step 2: Convert to fraction form
    42,582/87,898.50 = 87,898.50/x
  3. Step 3: Cross multiply
    42,582x = 87,898.50 × 87,898.50
  4. Step 4: Simplify right side
    42,582x = 7,726,146,302.25
  5. Step 5: Solve for x
    x = 7,726,146,302.25/42,582
  6. Step 6: Final answer
    x = 181,441.60

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.