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Finding the Third Proportional to 62,360 and 95,097

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Solution

The third proportional to 62,360 and 95,097 is: 145,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,360 : 95,097 = 95,097 : x
  2. Step 2: Convert to fraction form
    62,360/95,097 = 95,097/x
  3. Step 3: Cross multiply
    62,360x = 95,097 × 95,097
  4. Step 4: Simplify right side
    62,360x = 9,043,439,409
  5. Step 5: Solve for x
    x = 9,043,439,409/62,360
  6. Step 6: Final answer
    x = 145,019.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.