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Finding the Third Proportional to 42,068 and 89,973

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Solution

The third proportional to 42,068 and 89,973 is: 192,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,068 : 89,973 = 89,973 : x
  2. Step 2: Convert to fraction form
    42,068/89,973 = 89,973/x
  3. Step 3: Cross multiply
    42,068x = 89,973 × 89,973
  4. Step 4: Simplify right side
    42,068x = 8,095,140,729
  5. Step 5: Solve for x
    x = 8,095,140,729/42,068
  6. Step 6: Final answer
    x = 192,429.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.