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Finding the Third Proportional to 45,345 and 70,386

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Solution

The third proportional to 45,345 and 70,386 is: 109,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,345 : 70,386 = 70,386 : x
  2. Step 2: Convert to fraction form
    45,345/70,386 = 70,386/x
  3. Step 3: Cross multiply
    45,345x = 70,386 × 70,386
  4. Step 4: Simplify right side
    45,345x = 4,954,188,996
  5. Step 5: Solve for x
    x = 4,954,188,996/45,345
  6. Step 6: Final answer
    x = 109,255.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.