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Finding the Third Proportional to 122,248 and 187,004.50

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Solution

The third proportional to 122,248 and 187,004.50 is: 286,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,248 : 187,004.50 = 187,004.50 : x
  2. Step 2: Convert to fraction form
    122,248/187,004.50 = 187,004.50/x
  3. Step 3: Cross multiply
    122,248x = 187,004.50 × 187,004.50
  4. Step 4: Simplify right side
    122,248x = 34,970,683,020.25
  5. Step 5: Solve for x
    x = 34,970,683,020.25/122,248
  6. Step 6: Final answer
    x = 286,063.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.