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Finding the Third Proportional to 30,294 and 62,097

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Solution

The third proportional to 30,294 and 62,097 is: 127,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 62,097 = 62,097 : x
  2. Step 2: Convert to fraction form
    30,294/62,097 = 62,097/x
  3. Step 3: Cross multiply
    30,294x = 62,097 × 62,097
  4. Step 4: Simplify right side
    30,294x = 3,856,037,409
  5. Step 5: Solve for x
    x = 3,856,037,409/30,294
  6. Step 6: Final answer
    x = 127,287.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.