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Finding the Third Proportional to 53,346 and 115,222

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Solution

The third proportional to 53,346 and 115,222 is: 248,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,346 : 115,222 = 115,222 : x
  2. Step 2: Convert to fraction form
    53,346/115,222 = 115,222/x
  3. Step 3: Cross multiply
    53,346x = 115,222 × 115,222
  4. Step 4: Simplify right side
    53,346x = 13,276,109,284
  5. Step 5: Solve for x
    x = 13,276,109,284/53,346
  6. Step 6: Final answer
    x = 248,867.94

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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.