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Finding the Third Proportional to 64,501 and 94,856

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Solution

The third proportional to 64,501 and 94,856 is: 139,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,501 : 94,856 = 94,856 : x
  2. Step 2: Convert to fraction form
    64,501/94,856 = 94,856/x
  3. Step 3: Cross multiply
    64,501x = 94,856 × 94,856
  4. Step 4: Simplify right side
    64,501x = 8,997,660,736
  5. Step 5: Solve for x
    x = 8,997,660,736/64,501
  6. Step 6: Final answer
    x = 139,496.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.