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Finding the Third Proportional to 64,664 and 97,072

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Solution

The third proportional to 64,664 and 97,072 is: 145,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,664 : 97,072 = 97,072 : x
  2. Step 2: Convert to fraction form
    64,664/97,072 = 97,072/x
  3. Step 3: Cross multiply
    64,664x = 97,072 × 97,072
  4. Step 4: Simplify right side
    64,664x = 9,422,973,184
  5. Step 5: Solve for x
    x = 9,422,973,184/64,664
  6. Step 6: Final answer
    x = 145,722.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.