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Finding the Third Proportional to 59,097 and 136,671

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Solution

The third proportional to 59,097 and 136,671 is: 316,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,097 : 136,671 = 136,671 : x
  2. Step 2: Convert to fraction form
    59,097/136,671 = 136,671/x
  3. Step 3: Cross multiply
    59,097x = 136,671 × 136,671
  4. Step 4: Simplify right side
    59,097x = 18,678,962,241
  5. Step 5: Solve for x
    x = 18,678,962,241/59,097
  6. Step 6: Final answer
    x = 316,072.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.