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Finding the Third Proportional to 59,172 and 128,190

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Solution

The third proportional to 59,172 and 128,190 is: 277,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,172 : 128,190 = 128,190 : x
  2. Step 2: Convert to fraction form
    59,172/128,190 = 128,190/x
  3. Step 3: Cross multiply
    59,172x = 128,190 × 128,190
  4. Step 4: Simplify right side
    59,172x = 16,432,676,100
  5. Step 5: Solve for x
    x = 16,432,676,100/59,172
  6. Step 6: Final answer
    x = 277,710.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.