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Finding the Third Proportional to 56,216 and 84,178

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Solution

The third proportional to 56,216 and 84,178 is: 126,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,216 : 84,178 = 84,178 : x
  2. Step 2: Convert to fraction form
    56,216/84,178 = 84,178/x
  3. Step 3: Cross multiply
    56,216x = 84,178 × 84,178
  4. Step 4: Simplify right side
    56,216x = 7,085,935,684
  5. Step 5: Solve for x
    x = 7,085,935,684/56,216
  6. Step 6: Final answer
    x = 126,048.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.