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Finding the Third Proportional to 59,605.88 and 130,283.44

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Solution

The third proportional to 59,605.88 and 130,283.44 is: 284,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,605.88 : 130,283.44 = 130,283.44 : x
  2. Step 2: Convert to fraction form
    59,605.88/130,283.44 = 130,283.44/x
  3. Step 3: Cross multiply
    59,605.88x = 130,283.44 × 130,283.44
  4. Step 4: Simplify right side
    59,605.88x = 16,973,774,086.82
  5. Step 5: Solve for x
    x = 16,973,774,086.82/59,605.88
  6. Step 6: Final answer
    x = 284,766.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.