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Finding the Third Proportional to 53,955 and 118,617

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Solution

The third proportional to 53,955 and 118,617 is: 260,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,955 : 118,617 = 118,617 : x
  2. Step 2: Convert to fraction form
    53,955/118,617 = 118,617/x
  3. Step 3: Cross multiply
    53,955x = 118,617 × 118,617
  4. Step 4: Simplify right side
    53,955x = 14,069,992,689
  5. Step 5: Solve for x
    x = 14,069,992,689/53,955
  6. Step 6: Final answer
    x = 260,772.73

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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.