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Finding the Third Proportional to 59,798 and 128,184

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Solution

The third proportional to 59,798 and 128,184 is: 274,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,798 : 128,184 = 128,184 : x
  2. Step 2: Convert to fraction form
    59,798/128,184 = 128,184/x
  3. Step 3: Cross multiply
    59,798x = 128,184 × 128,184
  4. Step 4: Simplify right side
    59,798x = 16,431,137,856
  5. Step 5: Solve for x
    x = 16,431,137,856/59,798
  6. Step 6: Final answer
    x = 274,777.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.