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Finding the Third Proportional to 93,220 and 131,780

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Solution

The third proportional to 93,220 and 131,780 is: 186,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,220 : 131,780 = 131,780 : x
  2. Step 2: Convert to fraction form
    93,220/131,780 = 131,780/x
  3. Step 3: Cross multiply
    93,220x = 131,780 × 131,780
  4. Step 4: Simplify right side
    93,220x = 17,365,968,400
  5. Step 5: Solve for x
    x = 17,365,968,400/93,220
  6. Step 6: Final answer
    x = 186,290.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.