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Finding the Third Proportional to 53,468 and 116,043

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Solution

The third proportional to 53,468 and 116,043 is: 251,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,468 : 116,043 = 116,043 : x
  2. Step 2: Convert to fraction form
    53,468/116,043 = 116,043/x
  3. Step 3: Cross multiply
    53,468x = 116,043 × 116,043
  4. Step 4: Simplify right side
    53,468x = 13,465,977,849
  5. Step 5: Solve for x
    x = 13,465,977,849/53,468
  6. Step 6: Final answer
    x = 251,851.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.