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Finding the Third Proportional to 57,354 and 134,943

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Solution

The third proportional to 57,354 and 134,943 is: 317,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354 : 134,943 = 134,943 : x
  2. Step 2: Convert to fraction form
    57,354/134,943 = 134,943/x
  3. Step 3: Cross multiply
    57,354x = 134,943 × 134,943
  4. Step 4: Simplify right side
    57,354x = 18,209,613,249
  5. Step 5: Solve for x
    x = 18,209,613,249/57,354
  6. Step 6: Final answer
    x = 317,495.09

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.