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Finding the Third Proportional to 45,382 and 70,230

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Solution

The third proportional to 45,382 and 70,230 is: 108,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,382 : 70,230 = 70,230 : x
  2. Step 2: Convert to fraction form
    45,382/70,230 = 70,230/x
  3. Step 3: Cross multiply
    45,382x = 70,230 × 70,230
  4. Step 4: Simplify right side
    45,382x = 4,932,252,900
  5. Step 5: Solve for x
    x = 4,932,252,900/45,382
  6. Step 6: Final answer
    x = 108,683.02

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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.