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Finding the Third Proportional to 35,222 and 78,319

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Solution

The third proportional to 35,222 and 78,319 is: 174,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,222 : 78,319 = 78,319 : x
  2. Step 2: Convert to fraction form
    35,222/78,319 = 78,319/x
  3. Step 3: Cross multiply
    35,222x = 78,319 × 78,319
  4. Step 4: Simplify right side
    35,222x = 6,133,865,761
  5. Step 5: Solve for x
    x = 6,133,865,761/35,222
  6. Step 6: Final answer
    x = 174,148.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.