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Finding the Third Proportional to 53,305 and 115,146

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Solution

The third proportional to 53,305 and 115,146 is: 248,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,305 : 115,146 = 115,146 : x
  2. Step 2: Convert to fraction form
    53,305/115,146 = 115,146/x
  3. Step 3: Cross multiply
    53,305x = 115,146 × 115,146
  4. Step 4: Simplify right side
    53,305x = 13,258,601,316
  5. Step 5: Solve for x
    x = 13,258,601,316/53,305
  6. Step 6: Final answer
    x = 248,730.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.