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Finding the Third Proportional to 75,024 and 118,800

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Solution

The third proportional to 75,024 and 118,800 is: 188,119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024 : 118,800 = 118,800 : x
  2. Step 2: Convert to fraction form
    75,024/118,800 = 118,800/x
  3. Step 3: Cross multiply
    75,024x = 118,800 × 118,800
  4. Step 4: Simplify right side
    75,024x = 14,113,440,000
  5. Step 5: Solve for x
    x = 14,113,440,000/75,024
  6. Step 6: Final answer
    x = 188,119.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.