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Finding the Third Proportional to 55,388 and 118,650

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Solution

The third proportional to 55,388 and 118,650 is: 254,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,388 : 118,650 = 118,650 : x
  2. Step 2: Convert to fraction form
    55,388/118,650 = 118,650/x
  3. Step 3: Cross multiply
    55,388x = 118,650 × 118,650
  4. Step 4: Simplify right side
    55,388x = 14,077,822,500
  5. Step 5: Solve for x
    x = 14,077,822,500/55,388
  6. Step 6: Final answer
    x = 254,167.37

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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.