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Finding the Third Proportional to 126,537 and 194,033

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Solution

The third proportional to 126,537 and 194,033 is: 297,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,537 : 194,033 = 194,033 : x
  2. Step 2: Convert to fraction form
    126,537/194,033 = 194,033/x
  3. Step 3: Cross multiply
    126,537x = 194,033 × 194,033
  4. Step 4: Simplify right side
    126,537x = 37,648,805,089
  5. Step 5: Solve for x
    x = 37,648,805,089/126,537
  6. Step 6: Final answer
    x = 297,531.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.