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Finding the Third Proportional to 82,975.88 and 125,717.63

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Solution

The third proportional to 82,975.88 and 125,717.63 is: 190,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,975.88 : 125,717.63 = 125,717.63 : x
  2. Step 2: Convert to fraction form
    82,975.88/125,717.63 = 125,717.63/x
  3. Step 3: Cross multiply
    82,975.88x = 125,717.63 × 125,717.63
  4. Step 4: Simplify right side
    82,975.88x = 15,804,921,235.64
  5. Step 5: Solve for x
    x = 15,804,921,235.64/82,975.88
  6. Step 6: Final answer
    x = 190,476.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.