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Finding the Third Proportional to 72,298 and 108,032

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Solution

The third proportional to 72,298 and 108,032 is: 161,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,298 : 108,032 = 108,032 : x
  2. Step 2: Convert to fraction form
    72,298/108,032 = 108,032/x
  3. Step 3: Cross multiply
    72,298x = 108,032 × 108,032
  4. Step 4: Simplify right side
    72,298x = 11,670,913,024
  5. Step 5: Solve for x
    x = 11,670,913,024/72,298
  6. Step 6: Final answer
    x = 161,427.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.