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Finding the Third Proportional to 102,584 and 160,356

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Solution

The third proportional to 102,584 and 160,356 is: 250,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,584 : 160,356 = 160,356 : x
  2. Step 2: Convert to fraction form
    102,584/160,356 = 160,356/x
  3. Step 3: Cross multiply
    102,584x = 160,356 × 160,356
  4. Step 4: Simplify right side
    102,584x = 25,714,046,736
  5. Step 5: Solve for x
    x = 25,714,046,736/102,584
  6. Step 6: Final answer
    x = 250,663.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.