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Finding the Third Proportional to 42,020 and 89,602

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Solution

The third proportional to 42,020 and 89,602 is: 191,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,020 : 89,602 = 89,602 : x
  2. Step 2: Convert to fraction form
    42,020/89,602 = 89,602/x
  3. Step 3: Cross multiply
    42,020x = 89,602 × 89,602
  4. Step 4: Simplify right side
    42,020x = 8,028,518,404
  5. Step 5: Solve for x
    x = 8,028,518,404/42,020
  6. Step 6: Final answer
    x = 191,064.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.