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Finding the Third Proportional to 58,330 and 86,265

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Solution

The third proportional to 58,330 and 86,265 is: 127,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,330 : 86,265 = 86,265 : x
  2. Step 2: Convert to fraction form
    58,330/86,265 = 86,265/x
  3. Step 3: Cross multiply
    58,330x = 86,265 × 86,265
  4. Step 4: Simplify right side
    58,330x = 7,441,650,225
  5. Step 5: Solve for x
    x = 7,441,650,225/58,330
  6. Step 6: Final answer
    x = 127,578.44

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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.