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Finding the Third Proportional to 117,069 and 248,070

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Solution

The third proportional to 117,069 and 248,070 is: 525,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,069 : 248,070 = 248,070 : x
  2. Step 2: Convert to fraction form
    117,069/248,070 = 248,070/x
  3. Step 3: Cross multiply
    117,069x = 248,070 × 248,070
  4. Step 4: Simplify right side
    117,069x = 61,538,724,900
  5. Step 5: Solve for x
    x = 61,538,724,900/117,069
  6. Step 6: Final answer
    x = 525,662.00

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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.