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Finding the Third Proportional to 58,097 and 125,963

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Solution

The third proportional to 58,097 and 125,963 is: 273,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,097 : 125,963 = 125,963 : x
  2. Step 2: Convert to fraction form
    58,097/125,963 = 125,963/x
  3. Step 3: Cross multiply
    58,097x = 125,963 × 125,963
  4. Step 4: Simplify right side
    58,097x = 15,866,677,369
  5. Step 5: Solve for x
    x = 15,866,677,369/58,097
  6. Step 6: Final answer
    x = 273,106.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.