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Finding the Third Proportional to 85,235.63 and 133,714.13

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Solution

The third proportional to 85,235.63 and 133,714.13 is: 209,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,235.63 : 133,714.13 = 133,714.13 : x
  2. Step 2: Convert to fraction form
    85,235.63/133,714.13 = 133,714.13/x
  3. Step 3: Cross multiply
    85,235.63x = 133,714.13 × 133,714.13
  4. Step 4: Simplify right side
    85,235.63x = 17,879,467,224.52
  5. Step 5: Solve for x
    x = 17,879,467,224.52/85,235.63
  6. Step 6: Final answer
    x = 209,765.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.