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Finding the Third Proportional to 53,505 and 114,417

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Solution

The third proportional to 53,505 and 114,417 is: 244,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,505 : 114,417 = 114,417 : x
  2. Step 2: Convert to fraction form
    53,505/114,417 = 114,417/x
  3. Step 3: Cross multiply
    53,505x = 114,417 × 114,417
  4. Step 4: Simplify right side
    53,505x = 13,091,249,889
  5. Step 5: Solve for x
    x = 13,091,249,889/53,505
  6. Step 6: Final answer
    x = 244,673.39

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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.