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Finding the Third Proportional to 74,351 and 105,984

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Solution

The third proportional to 74,351 and 105,984 is: 151,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,351 : 105,984 = 105,984 : x
  2. Step 2: Convert to fraction form
    74,351/105,984 = 105,984/x
  3. Step 3: Cross multiply
    74,351x = 105,984 × 105,984
  4. Step 4: Simplify right side
    74,351x = 11,232,608,256
  5. Step 5: Solve for x
    x = 11,232,608,256/74,351
  6. Step 6: Final answer
    x = 151,075.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.