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Finding the Third Proportional to 53,788 and 113,984

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Solution

The third proportional to 53,788 and 113,984 is: 241,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,788 : 113,984 = 113,984 : x
  2. Step 2: Convert to fraction form
    53,788/113,984 = 113,984/x
  3. Step 3: Cross multiply
    53,788x = 113,984 × 113,984
  4. Step 4: Simplify right side
    53,788x = 12,992,352,256
  5. Step 5: Solve for x
    x = 12,992,352,256/53,788
  6. Step 6: Final answer
    x = 241,547.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.