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Finding the Third Proportional to 104,301 and 123,984

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Solution

The third proportional to 104,301 and 123,984 is: 147,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,301 : 123,984 = 123,984 : x
  2. Step 2: Convert to fraction form
    104,301/123,984 = 123,984/x
  3. Step 3: Cross multiply
    104,301x = 123,984 × 123,984
  4. Step 4: Simplify right side
    104,301x = 15,372,032,256
  5. Step 5: Solve for x
    x = 15,372,032,256/104,301
  6. Step 6: Final answer
    x = 147,381.45

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.