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Finding the Third Proportional to 59,706 and 131,076

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Solution

The third proportional to 59,706 and 131,076 is: 287,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,706 : 131,076 = 131,076 : x
  2. Step 2: Convert to fraction form
    59,706/131,076 = 131,076/x
  3. Step 3: Cross multiply
    59,706x = 131,076 × 131,076
  4. Step 4: Simplify right side
    59,706x = 17,180,917,776
  5. Step 5: Solve for x
    x = 17,180,917,776/59,706
  6. Step 6: Final answer
    x = 287,758.65

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