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Finding the Third Proportional to 98,394 and 138,069

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Solution

The third proportional to 98,394 and 138,069 is: 193,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,394 : 138,069 = 138,069 : x
  2. Step 2: Convert to fraction form
    98,394/138,069 = 138,069/x
  3. Step 3: Cross multiply
    98,394x = 138,069 × 138,069
  4. Step 4: Simplify right side
    98,394x = 19,063,048,761
  5. Step 5: Solve for x
    x = 19,063,048,761/98,394
  6. Step 6: Final answer
    x = 193,741.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.