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Finding the Third Proportional to 59,926 and 130,418

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Solution

The third proportional to 59,926 and 130,418 is: 283,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,926 : 130,418 = 130,418 : x
  2. Step 2: Convert to fraction form
    59,926/130,418 = 130,418/x
  3. Step 3: Cross multiply
    59,926x = 130,418 × 130,418
  4. Step 4: Simplify right side
    59,926x = 17,008,854,724
  5. Step 5: Solve for x
    x = 17,008,854,724/59,926
  6. Step 6: Final answer
    x = 283,830.97

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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.