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Finding the Third Proportional to 51,076 and 118,690

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Solution

The third proportional to 51,076 and 118,690 is: 275,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,076 : 118,690 = 118,690 : x
  2. Step 2: Convert to fraction form
    51,076/118,690 = 118,690/x
  3. Step 3: Cross multiply
    51,076x = 118,690 × 118,690
  4. Step 4: Simplify right side
    51,076x = 14,087,316,100
  5. Step 5: Solve for x
    x = 14,087,316,100/51,076
  6. Step 6: Final answer
    x = 275,810.87

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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.