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Finding the Third Proportional to 58,760 and 91,056

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Solution

The third proportional to 58,760 and 91,056 is: 141,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,760 : 91,056 = 91,056 : x
  2. Step 2: Convert to fraction form
    58,760/91,056 = 91,056/x
  3. Step 3: Cross multiply
    58,760x = 91,056 × 91,056
  4. Step 4: Simplify right side
    58,760x = 8,291,195,136
  5. Step 5: Solve for x
    x = 8,291,195,136/58,760
  6. Step 6: Final answer
    x = 141,102.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.