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Finding the Third Proportional to 85,710.66 and 130,741.59

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Solution

The third proportional to 85,710.66 and 130,741.59 is: 199,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,710.66 : 130,741.59 = 130,741.59 : x
  2. Step 2: Convert to fraction form
    85,710.66/130,741.59 = 130,741.59/x
  3. Step 3: Cross multiply
    85,710.66x = 130,741.59 × 130,741.59
  4. Step 4: Simplify right side
    85,710.66x = 17,093,364,336.29
  5. Step 5: Solve for x
    x = 17,093,364,336.29/85,710.66
  6. Step 6: Final answer
    x = 199,431.03

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Why These Related Problems?

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