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Finding the Third Proportional to 102,028 and 155,299

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Solution

The third proportional to 102,028 and 155,299 is: 236,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028 : 155,299 = 155,299 : x
  2. Step 2: Convert to fraction form
    102,028/155,299 = 155,299/x
  3. Step 3: Cross multiply
    102,028x = 155,299 × 155,299
  4. Step 4: Simplify right side
    102,028x = 24,117,779,401
  5. Step 5: Solve for x
    x = 24,117,779,401/102,028
  6. Step 6: Final answer
    x = 236,383.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.