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Finding the Third Proportional to 59,586 and 130,023

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Solution

The third proportional to 59,586 and 130,023 is: 283,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,586 : 130,023 = 130,023 : x
  2. Step 2: Convert to fraction form
    59,586/130,023 = 130,023/x
  3. Step 3: Cross multiply
    59,586x = 130,023 × 130,023
  4. Step 4: Simplify right side
    59,586x = 16,905,980,529
  5. Step 5: Solve for x
    x = 16,905,980,529/59,586
  6. Step 6: Final answer
    x = 283,724.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.