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Finding the Third Proportional to 53,640 and 114,210

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Solution

The third proportional to 53,640 and 114,210 is: 243,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,640 : 114,210 = 114,210 : x
  2. Step 2: Convert to fraction form
    53,640/114,210 = 114,210/x
  3. Step 3: Cross multiply
    53,640x = 114,210 × 114,210
  4. Step 4: Simplify right side
    53,640x = 13,043,924,100
  5. Step 5: Solve for x
    x = 13,043,924,100/53,640
  6. Step 6: Final answer
    x = 243,175.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.