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Finding the Third Proportional to 34,278 and 75,114

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Solution

The third proportional to 34,278 and 75,114 is: 164,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278 : 75,114 = 75,114 : x
  2. Step 2: Convert to fraction form
    34,278/75,114 = 75,114/x
  3. Step 3: Cross multiply
    34,278x = 75,114 × 75,114
  4. Step 4: Simplify right side
    34,278x = 5,642,112,996
  5. Step 5: Solve for x
    x = 5,642,112,996/34,278
  6. Step 6: Final answer
    x = 164,598.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.