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Finding the Third Proportional to 79,946 and 173,140

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Solution

The third proportional to 79,946 and 173,140 is: 374,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,946 : 173,140 = 173,140 : x
  2. Step 2: Convert to fraction form
    79,946/173,140 = 173,140/x
  3. Step 3: Cross multiply
    79,946x = 173,140 × 173,140
  4. Step 4: Simplify right side
    79,946x = 29,977,459,600
  5. Step 5: Solve for x
    x = 29,977,459,600/79,946
  6. Step 6: Final answer
    x = 374,971.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.