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Finding the Third Proportional to 61,435 and 133,986

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Solution

The third proportional to 61,435 and 133,986 is: 292,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,435 : 133,986 = 133,986 : x
  2. Step 2: Convert to fraction form
    61,435/133,986 = 133,986/x
  3. Step 3: Cross multiply
    61,435x = 133,986 × 133,986
  4. Step 4: Simplify right side
    61,435x = 17,952,248,196
  5. Step 5: Solve for x
    x = 17,952,248,196/61,435
  6. Step 6: Final answer
    x = 292,215.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.