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Finding the Third Proportional to 71,394 and 94,768

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Solution

The third proportional to 71,394 and 94,768 is: 125,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,394 : 94,768 = 94,768 : x
  2. Step 2: Convert to fraction form
    71,394/94,768 = 94,768/x
  3. Step 3: Cross multiply
    71,394x = 94,768 × 94,768
  4. Step 4: Simplify right side
    71,394x = 8,980,973,824
  5. Step 5: Solve for x
    x = 8,980,973,824/71,394
  6. Step 6: Final answer
    x = 125,794.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.