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Finding the Third Proportional to 64,206 and 96,501

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Solution

The third proportional to 64,206 and 96,501 is: 145,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206 : 96,501 = 96,501 : x
  2. Step 2: Convert to fraction form
    64,206/96,501 = 96,501/x
  3. Step 3: Cross multiply
    64,206x = 96,501 × 96,501
  4. Step 4: Simplify right side
    64,206x = 9,312,443,001
  5. Step 5: Solve for x
    x = 9,312,443,001/64,206
  6. Step 6: Final answer
    x = 145,040.07

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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.