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Finding the Third Proportional to 59,954 and 130,486

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Solution

The third proportional to 59,954 and 130,486 is: 283,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,954 : 130,486 = 130,486 : x
  2. Step 2: Convert to fraction form
    59,954/130,486 = 130,486/x
  3. Step 3: Cross multiply
    59,954x = 130,486 × 130,486
  4. Step 4: Simplify right side
    59,954x = 17,026,596,196
  5. Step 5: Solve for x
    x = 17,026,596,196/59,954
  6. Step 6: Final answer
    x = 283,994.33

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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.