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Finding the Third Proportional to 37,076 and 79,984

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Solution

The third proportional to 37,076 and 79,984 is: 172,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,076 : 79,984 = 79,984 : x
  2. Step 2: Convert to fraction form
    37,076/79,984 = 79,984/x
  3. Step 3: Cross multiply
    37,076x = 79,984 × 79,984
  4. Step 4: Simplify right side
    37,076x = 6,397,440,256
  5. Step 5: Solve for x
    x = 6,397,440,256/37,076
  6. Step 6: Final answer
    x = 172,549.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.