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Finding the Third Proportional to 78,912 and 175,312

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Solution

The third proportional to 78,912 and 175,312 is: 389,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,912 : 175,312 = 175,312 : x
  2. Step 2: Convert to fraction form
    78,912/175,312 = 175,312/x
  3. Step 3: Cross multiply
    78,912x = 175,312 × 175,312
  4. Step 4: Simplify right side
    78,912x = 30,734,297,344
  5. Step 5: Solve for x
    x = 30,734,297,344/78,912
  6. Step 6: Final answer
    x = 389,475.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.