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Finding the Third Proportional to 35,201 and 78,178

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Solution

The third proportional to 35,201 and 78,178 is: 173,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,201 : 78,178 = 78,178 : x
  2. Step 2: Convert to fraction form
    35,201/78,178 = 78,178/x
  3. Step 3: Cross multiply
    35,201x = 78,178 × 78,178
  4. Step 4: Simplify right side
    35,201x = 6,111,799,684
  5. Step 5: Solve for x
    x = 6,111,799,684/35,201
  6. Step 6: Final answer
    x = 173,625.74

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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.