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Finding the Third Proportional to 59,898 and 130,421

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Solution

The third proportional to 59,898 and 130,421 is: 283,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,898 : 130,421 = 130,421 : x
  2. Step 2: Convert to fraction form
    59,898/130,421 = 130,421/x
  3. Step 3: Cross multiply
    59,898x = 130,421 × 130,421
  4. Step 4: Simplify right side
    59,898x = 17,009,637,241
  5. Step 5: Solve for x
    x = 17,009,637,241/59,898
  6. Step 6: Final answer
    x = 283,976.71

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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.