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Finding the Third Proportional to 58,824 and 89,998.50

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Solution

The third proportional to 58,824 and 89,998.50 is: 137,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,824 : 89,998.50 = 89,998.50 : x
  2. Step 2: Convert to fraction form
    58,824/89,998.50 = 89,998.50/x
  3. Step 3: Cross multiply
    58,824x = 89,998.50 × 89,998.50
  4. Step 4: Simplify right side
    58,824x = 8,099,730,002.25
  5. Step 5: Solve for x
    x = 8,099,730,002.25/58,824
  6. Step 6: Final answer
    x = 137,694.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.