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Finding the Third Proportional to 52,028 and 113,968

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Solution

The third proportional to 52,028 and 113,968 is: 249,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,028 : 113,968 = 113,968 : x
  2. Step 2: Convert to fraction form
    52,028/113,968 = 113,968/x
  3. Step 3: Cross multiply
    52,028x = 113,968 × 113,968
  4. Step 4: Simplify right side
    52,028x = 12,988,705,024
  5. Step 5: Solve for x
    x = 12,988,705,024/52,028
  6. Step 6: Final answer
    x = 249,648.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.