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Finding the Third Proportional to 117,054 and 248,040

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Solution

The third proportional to 117,054 and 248,040 is: 525,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,054 : 248,040 = 248,040 : x
  2. Step 2: Convert to fraction form
    117,054/248,040 = 248,040/x
  3. Step 3: Cross multiply
    117,054x = 248,040 × 248,040
  4. Step 4: Simplify right side
    117,054x = 61,523,841,600
  5. Step 5: Solve for x
    x = 61,523,841,600/117,054
  6. Step 6: Final answer
    x = 525,602.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.