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Finding the Third Proportional to 59,956 and 130,490

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Solution

The third proportional to 59,956 and 130,490 is: 284,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,956 : 130,490 = 130,490 : x
  2. Step 2: Convert to fraction form
    59,956/130,490 = 130,490/x
  3. Step 3: Cross multiply
    59,956x = 130,490 × 130,490
  4. Step 4: Simplify right side
    59,956x = 17,027,640,100
  5. Step 5: Solve for x
    x = 17,027,640,100/59,956
  6. Step 6: Final answer
    x = 284,002.27

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