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Finding the Third Proportional to 57,798 and 120,178

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Solution

The third proportional to 57,798 and 120,178 is: 249,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,798 : 120,178 = 120,178 : x
  2. Step 2: Convert to fraction form
    57,798/120,178 = 120,178/x
  3. Step 3: Cross multiply
    57,798x = 120,178 × 120,178
  4. Step 4: Simplify right side
    57,798x = 14,442,751,684
  5. Step 5: Solve for x
    x = 14,442,751,684/57,798
  6. Step 6: Final answer
    x = 249,883.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.