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Finding the Third Proportional to 57,358 and 134,952

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Solution

The third proportional to 57,358 and 134,952 is: 317,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,358 : 134,952 = 134,952 : x
  2. Step 2: Convert to fraction form
    57,358/134,952 = 134,952/x
  3. Step 3: Cross multiply
    57,358x = 134,952 × 134,952
  4. Step 4: Simplify right side
    57,358x = 18,212,042,304
  5. Step 5: Solve for x
    x = 18,212,042,304/57,358
  6. Step 6: Final answer
    x = 317,515.30

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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.