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Finding the Third Proportional to 59,562 and 130,977

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Solution

The third proportional to 59,562 and 130,977 is: 288,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,562 : 130,977 = 130,977 : x
  2. Step 2: Convert to fraction form
    59,562/130,977 = 130,977/x
  3. Step 3: Cross multiply
    59,562x = 130,977 × 130,977
  4. Step 4: Simplify right side
    59,562x = 17,154,974,529
  5. Step 5: Solve for x
    x = 17,154,974,529/59,562
  6. Step 6: Final answer
    x = 288,018.78

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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.