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Finding the Third Proportional to 45,320 and 70,000

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Solution

The third proportional to 45,320 and 70,000 is: 108,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,320 : 70,000 = 70,000 : x
  2. Step 2: Convert to fraction form
    45,320/70,000 = 70,000/x
  3. Step 3: Cross multiply
    45,320x = 70,000 × 70,000
  4. Step 4: Simplify right side
    45,320x = 4,900,000,000
  5. Step 5: Solve for x
    x = 4,900,000,000/45,320
  6. Step 6: Final answer
    x = 108,120.04

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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.