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Finding the Third Proportional to 42,030 and 89,190

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Solution

The third proportional to 42,030 and 89,190 is: 189,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,030 : 89,190 = 89,190 : x
  2. Step 2: Convert to fraction form
    42,030/89,190 = 89,190/x
  3. Step 3: Cross multiply
    42,030x = 89,190 × 89,190
  4. Step 4: Simplify right side
    42,030x = 7,954,856,100
  5. Step 5: Solve for x
    x = 7,954,856,100/42,030
  6. Step 6: Final answer
    x = 189,266.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.