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Finding the Third Proportional to 34,220 and 73,550

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Solution

The third proportional to 34,220 and 73,550 is: 158,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220 : 73,550 = 73,550 : x
  2. Step 2: Convert to fraction form
    34,220/73,550 = 73,550/x
  3. Step 3: Cross multiply
    34,220x = 73,550 × 73,550
  4. Step 4: Simplify right side
    34,220x = 5,409,602,500
  5. Step 5: Solve for x
    x = 5,409,602,500/34,220
  6. Step 6: Final answer
    x = 158,083.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.