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Finding the Third Proportional to 112,698 and 237,971

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Solution

The third proportional to 112,698 and 237,971 is: 502,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,698 : 237,971 = 237,971 : x
  2. Step 2: Convert to fraction form
    112,698/237,971 = 237,971/x
  3. Step 3: Cross multiply
    112,698x = 237,971 × 237,971
  4. Step 4: Simplify right side
    112,698x = 56,630,196,841
  5. Step 5: Solve for x
    x = 56,630,196,841/112,698
  6. Step 6: Final answer
    x = 502,495.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.