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Finding the Third Proportional to 36,335 and 78,237

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Solution

The third proportional to 36,335 and 78,237 is: 168,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,335 : 78,237 = 78,237 : x
  2. Step 2: Convert to fraction form
    36,335/78,237 = 78,237/x
  3. Step 3: Cross multiply
    36,335x = 78,237 × 78,237
  4. Step 4: Simplify right side
    36,335x = 6,121,028,169
  5. Step 5: Solve for x
    x = 6,121,028,169/36,335
  6. Step 6: Final answer
    x = 168,460.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.