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Finding the Third Proportional to 64,682 and 97,263

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Solution

The third proportional to 64,682 and 97,263 is: 146,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,682 : 97,263 = 97,263 : x
  2. Step 2: Convert to fraction form
    64,682/97,263 = 97,263/x
  3. Step 3: Cross multiply
    64,682x = 97,263 × 97,263
  4. Step 4: Simplify right side
    64,682x = 9,460,091,169
  5. Step 5: Solve for x
    x = 9,460,091,169/64,682
  6. Step 6: Final answer
    x = 146,255.39

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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.