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Finding the Third Proportional to 45,394 and 70,005

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Solution

The third proportional to 45,394 and 70,005 is: 107,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,394 : 70,005 = 70,005 : x
  2. Step 2: Convert to fraction form
    45,394/70,005 = 70,005/x
  3. Step 3: Cross multiply
    45,394x = 70,005 × 70,005
  4. Step 4: Simplify right side
    45,394x = 4,900,700,025
  5. Step 5: Solve for x
    x = 4,900,700,025/45,394
  6. Step 6: Final answer
    x = 107,959.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.