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Finding the Third Proportional to 53,818 and 117,324.50

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Solution

The third proportional to 53,818 and 117,324.50 is: 255,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,818 : 117,324.50 = 117,324.50 : x
  2. Step 2: Convert to fraction form
    53,818/117,324.50 = 117,324.50/x
  3. Step 3: Cross multiply
    53,818x = 117,324.50 × 117,324.50
  4. Step 4: Simplify right side
    53,818x = 13,765,038,300.25
  5. Step 5: Solve for x
    x = 13,765,038,300.25/53,818
  6. Step 6: Final answer
    x = 255,770.16

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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.