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Finding the Third Proportional to 127,780.03 and 184,015.55

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Solution

The third proportional to 127,780.03 and 184,015.55 is: 265,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,780.03 : 184,015.55 = 184,015.55 : x
  2. Step 2: Convert to fraction form
    127,780.03/184,015.55 = 184,015.55/x
  3. Step 3: Cross multiply
    127,780.03x = 184,015.55 × 184,015.55
  4. Step 4: Simplify right side
    127,780.03x = 33,861,721,491.71
  5. Step 5: Solve for x
    x = 33,861,721,491.71/127,780.03
  6. Step 6: Final answer
    x = 265,000.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.