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Finding the Third Proportional to 72,973 and 93,244

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Solution

The third proportional to 72,973 and 93,244 is: 119,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,973 : 93,244 = 93,244 : x
  2. Step 2: Convert to fraction form
    72,973/93,244 = 93,244/x
  3. Step 3: Cross multiply
    72,973x = 93,244 × 93,244
  4. Step 4: Simplify right side
    72,973x = 8,694,443,536
  5. Step 5: Solve for x
    x = 8,694,443,536/72,973
  6. Step 6: Final answer
    x = 119,146.03

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.