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Finding the Third Proportional to 59,665 and 130,994

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Solution

The third proportional to 59,665 and 130,994 is: 287,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,665 : 130,994 = 130,994 : x
  2. Step 2: Convert to fraction form
    59,665/130,994 = 130,994/x
  3. Step 3: Cross multiply
    59,665x = 130,994 × 130,994
  4. Step 4: Simplify right side
    59,665x = 17,159,428,036
  5. Step 5: Solve for x
    x = 17,159,428,036/59,665
  6. Step 6: Final answer
    x = 287,596.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.