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Finding the Third Proportional to 102,580 and 162,293

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Solution

The third proportional to 102,580 and 162,293 is: 256,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,580 : 162,293 = 162,293 : x
  2. Step 2: Convert to fraction form
    102,580/162,293 = 162,293/x
  3. Step 3: Cross multiply
    102,580x = 162,293 × 162,293
  4. Step 4: Simplify right side
    102,580x = 26,339,017,849
  5. Step 5: Solve for x
    x = 26,339,017,849/102,580
  6. Step 6: Final answer
    x = 256,765.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.