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Finding the Third Proportional to 74,798 and 165,142

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Solution

The third proportional to 74,798 and 165,142 is: 364,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,798 : 165,142 = 165,142 : x
  2. Step 2: Convert to fraction form
    74,798/165,142 = 165,142/x
  3. Step 3: Cross multiply
    74,798x = 165,142 × 165,142
  4. Step 4: Simplify right side
    74,798x = 27,271,880,164
  5. Step 5: Solve for x
    x = 27,271,880,164/74,798
  6. Step 6: Final answer
    x = 364,607.08

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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.