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Finding the Third Proportional to 42,996 and 89,030

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Solution

The third proportional to 42,996 and 89,030 is: 184,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,996 : 89,030 = 89,030 : x
  2. Step 2: Convert to fraction form
    42,996/89,030 = 89,030/x
  3. Step 3: Cross multiply
    42,996x = 89,030 × 89,030
  4. Step 4: Simplify right side
    42,996x = 7,926,340,900
  5. Step 5: Solve for x
    x = 7,926,340,900/42,996
  6. Step 6: Final answer
    x = 184,350.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.