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Finding the Third Proportional to 91,334 and 143,313

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Solution

The third proportional to 91,334 and 143,313 is: 224,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,334 : 143,313 = 143,313 : x
  2. Step 2: Convert to fraction form
    91,334/143,313 = 143,313/x
  3. Step 3: Cross multiply
    91,334x = 143,313 × 143,313
  4. Step 4: Simplify right side
    91,334x = 20,538,615,969
  5. Step 5: Solve for x
    x = 20,538,615,969/91,334
  6. Step 6: Final answer
    x = 224,873.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.