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Finding the Third Proportional to 56,926 and 91,465

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Solution

The third proportional to 56,926 and 91,465 is: 146,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,926 : 91,465 = 91,465 : x
  2. Step 2: Convert to fraction form
    56,926/91,465 = 91,465/x
  3. Step 3: Cross multiply
    56,926x = 91,465 × 91,465
  4. Step 4: Simplify right side
    56,926x = 8,365,846,225
  5. Step 5: Solve for x
    x = 8,365,846,225/56,926
  6. Step 6: Final answer
    x = 146,960.02

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.