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Finding the Third Proportional to 61,135 and 133,934

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Solution

The third proportional to 61,135 and 133,934 is: 293,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,135 : 133,934 = 133,934 : x
  2. Step 2: Convert to fraction form
    61,135/133,934 = 133,934/x
  3. Step 3: Cross multiply
    61,135x = 133,934 × 133,934
  4. Step 4: Simplify right side
    61,135x = 17,938,316,356
  5. Step 5: Solve for x
    x = 17,938,316,356/61,135
  6. Step 6: Final answer
    x = 293,421.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.