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Finding the Third Proportional to 65,235.38 and 99,959.06

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Solution

The third proportional to 65,235.38 and 99,959.06 is: 153,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.38 : 99,959.06 = 99,959.06 : x
  2. Step 2: Convert to fraction form
    65,235.38/99,959.06 = 99,959.06/x
  3. Step 3: Cross multiply
    65,235.38x = 99,959.06 × 99,959.06
  4. Step 4: Simplify right side
    65,235.38x = 9,991,814,175.88
  5. Step 5: Solve for x
    x = 9,991,814,175.88/65,235.38
  6. Step 6: Final answer
    x = 153,165.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.