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Finding the Third Proportional to 50,028 and 77,564

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Solution

The third proportional to 50,028 and 77,564 is: 120,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,028 : 77,564 = 77,564 : x
  2. Step 2: Convert to fraction form
    50,028/77,564 = 77,564/x
  3. Step 3: Cross multiply
    50,028x = 77,564 × 77,564
  4. Step 4: Simplify right side
    50,028x = 6,016,174,096
  5. Step 5: Solve for x
    x = 6,016,174,096/50,028
  6. Step 6: Final answer
    x = 120,256.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.