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Finding the Third Proportional to 99,144 and 159,602

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Solution

The third proportional to 99,144 and 159,602 is: 256,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,144 : 159,602 = 159,602 : x
  2. Step 2: Convert to fraction form
    99,144/159,602 = 159,602/x
  3. Step 3: Cross multiply
    99,144x = 159,602 × 159,602
  4. Step 4: Simplify right side
    99,144x = 25,472,798,404
  5. Step 5: Solve for x
    x = 25,472,798,404/99,144
  6. Step 6: Final answer
    x = 256,927.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.