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Finding the Third Proportional to 122,070 and 182,984.50

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Solution

The third proportional to 122,070 and 182,984.50 is: 274,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,070 : 182,984.50 = 182,984.50 : x
  2. Step 2: Convert to fraction form
    122,070/182,984.50 = 182,984.50/x
  3. Step 3: Cross multiply
    122,070x = 182,984.50 × 182,984.50
  4. Step 4: Simplify right side
    122,070x = 33,483,327,240.25
  5. Step 5: Solve for x
    x = 33,483,327,240.25/122,070
  6. Step 6: Final answer
    x = 274,296.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.