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Finding the Third Proportional to 53,294 and 113,973

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Solution

The third proportional to 53,294 and 113,973 is: 243,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,294 : 113,973 = 113,973 : x
  2. Step 2: Convert to fraction form
    53,294/113,973 = 113,973/x
  3. Step 3: Cross multiply
    53,294x = 113,973 × 113,973
  4. Step 4: Simplify right side
    53,294x = 12,989,844,729
  5. Step 5: Solve for x
    x = 12,989,844,729/53,294
  6. Step 6: Final answer
    x = 243,739.35

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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.