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Finding the Third Proportional to 53,030 and 117,100

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Solution

The third proportional to 53,030 and 117,100 is: 258,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,030 : 117,100 = 117,100 : x
  2. Step 2: Convert to fraction form
    53,030/117,100 = 117,100/x
  3. Step 3: Cross multiply
    53,030x = 117,100 × 117,100
  4. Step 4: Simplify right side
    53,030x = 13,712,410,000
  5. Step 5: Solve for x
    x = 13,712,410,000/53,030
  6. Step 6: Final answer
    x = 258,578.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.