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Finding the Third Proportional to 122,013 and 285,052.50

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Solution

The third proportional to 122,013 and 285,052.50 is: 665,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,013 : 285,052.50 = 285,052.50 : x
  2. Step 2: Convert to fraction form
    122,013/285,052.50 = 285,052.50/x
  3. Step 3: Cross multiply
    122,013x = 285,052.50 × 285,052.50
  4. Step 4: Simplify right side
    122,013x = 81,254,927,756.25
  5. Step 5: Solve for x
    x = 81,254,927,756.25/122,013
  6. Step 6: Final answer
    x = 665,953.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.