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Finding the Third Proportional to 65,511 and 153,996.75

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Solution

The third proportional to 65,511 and 153,996.75 is: 362,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,511 : 153,996.75 = 153,996.75 : x
  2. Step 2: Convert to fraction form
    65,511/153,996.75 = 153,996.75/x
  3. Step 3: Cross multiply
    65,511x = 153,996.75 × 153,996.75
  4. Step 4: Simplify right side
    65,511x = 23,714,999,010.56
  5. Step 5: Solve for x
    x = 23,714,999,010.56/65,511
  6. Step 6: Final answer
    x = 362,000.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.