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Finding the Third Proportional to 58,344 and 86,284

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Solution

The third proportional to 58,344 and 86,284 is: 127,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,344 : 86,284 = 86,284 : x
  2. Step 2: Convert to fraction form
    58,344/86,284 = 86,284/x
  3. Step 3: Cross multiply
    58,344x = 86,284 × 86,284
  4. Step 4: Simplify right side
    58,344x = 7,444,928,656
  5. Step 5: Solve for x
    x = 7,444,928,656/58,344
  6. Step 6: Final answer
    x = 127,604.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.