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Finding the Third Proportional to 61,097 and 94,601

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Solution

The third proportional to 61,097 and 94,601 is: 146,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,097 : 94,601 = 94,601 : x
  2. Step 2: Convert to fraction form
    61,097/94,601 = 94,601/x
  3. Step 3: Cross multiply
    61,097x = 94,601 × 94,601
  4. Step 4: Simplify right side
    61,097x = 8,949,349,201
  5. Step 5: Solve for x
    x = 8,949,349,201/61,097
  6. Step 6: Final answer
    x = 146,477.72

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Why These Related Problems?

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