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Finding the Third Proportional to 103,294 and 159,497

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Solution

The third proportional to 103,294 and 159,497 is: 246,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,294 : 159,497 = 159,497 : x
  2. Step 2: Convert to fraction form
    103,294/159,497 = 159,497/x
  3. Step 3: Cross multiply
    103,294x = 159,497 × 159,497
  4. Step 4: Simplify right side
    103,294x = 25,439,293,009
  5. Step 5: Solve for x
    x = 25,439,293,009/103,294
  6. Step 6: Final answer
    x = 246,280.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.