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Finding the Third Proportional to 136,714.50 and 184,038.75

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Solution

The third proportional to 136,714.50 and 184,038.75 is: 247,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,714.50 : 184,038.75 = 184,038.75 : x
  2. Step 2: Convert to fraction form
    136,714.50/184,038.75 = 184,038.75/x
  3. Step 3: Cross multiply
    136,714.50x = 184,038.75 × 184,038.75
  4. Step 4: Simplify right side
    136,714.50x = 33,870,261,501.56
  5. Step 5: Solve for x
    x = 33,870,261,501.56/136,714.50
  6. Step 6: Final answer
    x = 247,744.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.