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Finding the Third Proportional to 61,059 and 133,313

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Solution

The third proportional to 61,059 and 133,313 is: 291,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,059 : 133,313 = 133,313 : x
  2. Step 2: Convert to fraction form
    61,059/133,313 = 133,313/x
  3. Step 3: Cross multiply
    61,059x = 133,313 × 133,313
  4. Step 4: Simplify right side
    61,059x = 17,772,355,969
  5. Step 5: Solve for x
    x = 17,772,355,969/61,059
  6. Step 6: Final answer
    x = 291,068.57

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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.