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Finding the Third Proportional to 37,253 and 81,076

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Solution

The third proportional to 37,253 and 81,076 is: 176,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,253 : 81,076 = 81,076 : x
  2. Step 2: Convert to fraction form
    37,253/81,076 = 81,076/x
  3. Step 3: Cross multiply
    37,253x = 81,076 × 81,076
  4. Step 4: Simplify right side
    37,253x = 6,573,317,776
  5. Step 5: Solve for x
    x = 6,573,317,776/37,253
  6. Step 6: Final answer
    x = 176,450.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.