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Finding the Third Proportional to 101,028 and 212,532

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Solution

The third proportional to 101,028 and 212,532 is: 447,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,028 : 212,532 = 212,532 : x
  2. Step 2: Convert to fraction form
    101,028/212,532 = 212,532/x
  3. Step 3: Cross multiply
    101,028x = 212,532 × 212,532
  4. Step 4: Simplify right side
    101,028x = 45,169,851,024
  5. Step 5: Solve for x
    x = 45,169,851,024/101,028
  6. Step 6: Final answer
    x = 447,102.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.