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Finding the Third Proportional to 64,953.75 and 139,302.75

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Solution

The third proportional to 64,953.75 and 139,302.75 is: 298,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,953.75 : 139,302.75 = 139,302.75 : x
  2. Step 2: Convert to fraction form
    64,953.75/139,302.75 = 139,302.75/x
  3. Step 3: Cross multiply
    64,953.75x = 139,302.75 × 139,302.75
  4. Step 4: Simplify right side
    64,953.75x = 19,405,256,157.56
  5. Step 5: Solve for x
    x = 19,405,256,157.56/64,953.75
  6. Step 6: Final answer
    x = 298,754.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.