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Finding the Third Proportional to 55,352 and 118,600

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Solution

The third proportional to 55,352 and 118,600 is: 254,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,352 : 118,600 = 118,600 : x
  2. Step 2: Convert to fraction form
    55,352/118,600 = 118,600/x
  3. Step 3: Cross multiply
    55,352x = 118,600 × 118,600
  4. Step 4: Simplify right side
    55,352x = 14,065,960,000
  5. Step 5: Solve for x
    x = 14,065,960,000/55,352
  6. Step 6: Final answer
    x = 254,118.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.