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Finding the Third Proportional to 115,683 and 174,983

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Solution

The third proportional to 115,683 and 174,983 is: 264,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,683 : 174,983 = 174,983 : x
  2. Step 2: Convert to fraction form
    115,683/174,983 = 174,983/x
  3. Step 3: Cross multiply
    115,683x = 174,983 × 174,983
  4. Step 4: Simplify right side
    115,683x = 30,619,050,289
  5. Step 5: Solve for x
    x = 30,619,050,289/115,683
  6. Step 6: Final answer
    x = 264,680.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.