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Finding the Third Proportional to 58,968 and 86,184

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Solution

The third proportional to 58,968 and 86,184 is: 125,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,968 : 86,184 = 86,184 : x
  2. Step 2: Convert to fraction form
    58,968/86,184 = 86,184/x
  3. Step 3: Cross multiply
    58,968x = 86,184 × 86,184
  4. Step 4: Simplify right side
    58,968x = 7,427,681,856
  5. Step 5: Solve for x
    x = 7,427,681,856/58,968
  6. Step 6: Final answer
    x = 125,961.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.