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Finding the Third Proportional to 58,652 and 138,320

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Solution

The third proportional to 58,652 and 138,320 is: 326,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,652 : 138,320 = 138,320 : x
  2. Step 2: Convert to fraction form
    58,652/138,320 = 138,320/x
  3. Step 3: Cross multiply
    58,652x = 138,320 × 138,320
  4. Step 4: Simplify right side
    58,652x = 19,132,422,400
  5. Step 5: Solve for x
    x = 19,132,422,400/58,652
  6. Step 6: Final answer
    x = 326,202.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.