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Finding the Third Proportional to 127,541.53 and 184,370.91

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Solution

The third proportional to 127,541.53 and 184,370.91 is: 266,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,541.53 : 184,370.91 = 184,370.91 : x
  2. Step 2: Convert to fraction form
    127,541.53/184,370.91 = 184,370.91/x
  3. Step 3: Cross multiply
    127,541.53x = 184,370.91 × 184,370.91
  4. Step 4: Simplify right side
    127,541.53x = 33,992,631,071.45
  5. Step 5: Solve for x
    x = 33,992,631,071.45/127,541.53
  6. Step 6: Final answer
    x = 266,522.06

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.