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Finding the Third Proportional to 132,078 and 268,752

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Solution

The third proportional to 132,078 and 268,752 is: 546,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,078 : 268,752 = 268,752 : x
  2. Step 2: Convert to fraction form
    132,078/268,752 = 268,752/x
  3. Step 3: Cross multiply
    132,078x = 268,752 × 268,752
  4. Step 4: Simplify right side
    132,078x = 72,227,637,504
  5. Step 5: Solve for x
    x = 72,227,637,504/132,078
  6. Step 6: Final answer
    x = 546,855.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.