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Finding the Third Proportional to 61,508 and 130,306

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Solution

The third proportional to 61,508 and 130,306 is: 276,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,508 : 130,306 = 130,306 : x
  2. Step 2: Convert to fraction form
    61,508/130,306 = 130,306/x
  3. Step 3: Cross multiply
    61,508x = 130,306 × 130,306
  4. Step 4: Simplify right side
    61,508x = 16,979,653,636
  5. Step 5: Solve for x
    x = 16,979,653,636/61,508
  6. Step 6: Final answer
    x = 276,056.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.