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Finding the Third Proportional to 64,028 and 149,564

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Solution

The third proportional to 64,028 and 149,564 is: 349,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,028 : 149,564 = 149,564 : x
  2. Step 2: Convert to fraction form
    64,028/149,564 = 149,564/x
  3. Step 3: Cross multiply
    64,028x = 149,564 × 149,564
  4. Step 4: Simplify right side
    64,028x = 22,369,390,096
  5. Step 5: Solve for x
    x = 22,369,390,096/64,028
  6. Step 6: Final answer
    x = 349,368.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.