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Finding the Third Proportional to 65,184 and 125,184

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Solution

The third proportional to 65,184 and 125,184 is: 240,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184 : 125,184 = 125,184 : x
  2. Step 2: Convert to fraction form
    65,184/125,184 = 125,184/x
  3. Step 3: Cross multiply
    65,184x = 125,184 × 125,184
  4. Step 4: Simplify right side
    65,184x = 15,671,033,856
  5. Step 5: Solve for x
    x = 15,671,033,856/65,184
  6. Step 6: Final answer
    x = 240,412.28

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.