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Finding the Third Proportional to 118,971 and 175,167

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Solution

The third proportional to 118,971 and 175,167 is: 257,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971 : 175,167 = 175,167 : x
  2. Step 2: Convert to fraction form
    118,971/175,167 = 175,167/x
  3. Step 3: Cross multiply
    118,971x = 175,167 × 175,167
  4. Step 4: Simplify right side
    118,971x = 30,683,477,889
  5. Step 5: Solve for x
    x = 30,683,477,889/118,971
  6. Step 6: Final answer
    x = 257,907.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.