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Finding the Third Proportional to 93,926 and 140,897

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Solution

The third proportional to 93,926 and 140,897 is: 211,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,926 : 140,897 = 140,897 : x
  2. Step 2: Convert to fraction form
    93,926/140,897 = 140,897/x
  3. Step 3: Cross multiply
    93,926x = 140,897 × 140,897
  4. Step 4: Simplify right side
    93,926x = 19,851,964,609
  5. Step 5: Solve for x
    x = 19,851,964,609/93,926
  6. Step 6: Final answer
    x = 211,357.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.