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Finding the Third Proportional to 122,312 and 174,500

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Solution

The third proportional to 122,312 and 174,500 is: 248,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,312 : 174,500 = 174,500 : x
  2. Step 2: Convert to fraction form
    122,312/174,500 = 174,500/x
  3. Step 3: Cross multiply
    122,312x = 174,500 × 174,500
  4. Step 4: Simplify right side
    122,312x = 30,450,250,000
  5. Step 5: Solve for x
    x = 30,450,250,000/122,312
  6. Step 6: Final answer
    x = 248,955.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.