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Finding the Third Proportional to 122,966.02 and 180,932.48

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Solution

The third proportional to 122,966.02 and 180,932.48 is: 266,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,966.02 : 180,932.48 = 180,932.48 : x
  2. Step 2: Convert to fraction form
    122,966.02/180,932.48 = 180,932.48/x
  3. Step 3: Cross multiply
    122,966.02x = 180,932.48 × 180,932.48
  4. Step 4: Simplify right side
    122,966.02x = 32,736,563,902.11
  5. Step 5: Solve for x
    x = 32,736,563,902.11/122,966.02
  6. Step 6: Final answer
    x = 266,224.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.