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Finding the Third Proportional to 53,798 and 117,438

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Solution

The third proportional to 53,798 and 117,438 is: 256,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,798 : 117,438 = 117,438 : x
  2. Step 2: Convert to fraction form
    53,798/117,438 = 117,438/x
  3. Step 3: Cross multiply
    53,798x = 117,438 × 117,438
  4. Step 4: Simplify right side
    53,798x = 13,791,683,844
  5. Step 5: Solve for x
    x = 13,791,683,844/53,798
  6. Step 6: Final answer
    x = 256,360.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.