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Finding the Third Proportional to 51,084 and 118,709

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Solution

The third proportional to 51,084 and 118,709 is: 275,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,084 : 118,709 = 118,709 : x
  2. Step 2: Convert to fraction form
    51,084/118,709 = 118,709/x
  3. Step 3: Cross multiply
    51,084x = 118,709 × 118,709
  4. Step 4: Simplify right side
    51,084x = 14,091,826,681
  5. Step 5: Solve for x
    x = 14,091,826,681/51,084
  6. Step 6: Final answer
    x = 275,855.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.