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Finding the Third Proportional to 64,094 and 97,097

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Solution

The third proportional to 64,094 and 97,097 is: 147,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,094 : 97,097 = 97,097 : x
  2. Step 2: Convert to fraction form
    64,094/97,097 = 97,097/x
  3. Step 3: Cross multiply
    64,094x = 97,097 × 97,097
  4. Step 4: Simplify right side
    64,094x = 9,427,827,409
  5. Step 5: Solve for x
    x = 9,427,827,409/64,094
  6. Step 6: Final answer
    x = 147,093.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.