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Finding the Third Proportional to 53,951 and 118,534

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Solution

The third proportional to 53,951 and 118,534 is: 260,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,951 : 118,534 = 118,534 : x
  2. Step 2: Convert to fraction form
    53,951/118,534 = 118,534/x
  3. Step 3: Cross multiply
    53,951x = 118,534 × 118,534
  4. Step 4: Simplify right side
    53,951x = 14,050,309,156
  5. Step 5: Solve for x
    x = 14,050,309,156/53,951
  6. Step 6: Final answer
    x = 260,427.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.