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Finding the Third Proportional to 64,500 and 97,128

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Solution

The third proportional to 64,500 and 97,128 is: 146,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,500 : 97,128 = 97,128 : x
  2. Step 2: Convert to fraction form
    64,500/97,128 = 97,128/x
  3. Step 3: Cross multiply
    64,500x = 97,128 × 97,128
  4. Step 4: Simplify right side
    64,500x = 9,433,848,384
  5. Step 5: Solve for x
    x = 9,433,848,384/64,500
  6. Step 6: Final answer
    x = 146,261.22

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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.