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Finding the Third Proportional to 122,808.02 and 183,453.61

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Solution

The third proportional to 122,808.02 and 183,453.61 is: 274,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,808.02 : 183,453.61 = 183,453.61 : x
  2. Step 2: Convert to fraction form
    122,808.02/183,453.61 = 183,453.61/x
  3. Step 3: Cross multiply
    122,808.02x = 183,453.61 × 183,453.61
  4. Step 4: Simplify right side
    122,808.02x = 33,655,226,792.72
  5. Step 5: Solve for x
    x = 33,655,226,792.72/122,808.02
  6. Step 6: Final answer
    x = 274,047.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.