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Finding the Third Proportional to 64,092 and 97,094

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Solution

The third proportional to 64,092 and 97,094 is: 147,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,092 : 97,094 = 97,094 : x
  2. Step 2: Convert to fraction form
    64,092/97,094 = 97,094/x
  3. Step 3: Cross multiply
    64,092x = 97,094 × 97,094
  4. Step 4: Simplify right side
    64,092x = 9,427,244,836
  5. Step 5: Solve for x
    x = 9,427,244,836/64,092
  6. Step 6: Final answer
    x = 147,089.26

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Why These Related Problems?

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