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Finding the Third Proportional to 56,350 and 118,988

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Solution

The third proportional to 56,350 and 118,988 is: 251,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,350 : 118,988 = 118,988 : x
  2. Step 2: Convert to fraction form
    56,350/118,988 = 118,988/x
  3. Step 3: Cross multiply
    56,350x = 118,988 × 118,988
  4. Step 4: Simplify right side
    56,350x = 14,158,144,144
  5. Step 5: Solve for x
    x = 14,158,144,144/56,350
  6. Step 6: Final answer
    x = 251,253.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.