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Finding the Third Proportional to 43,503 and 83,550

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Solution

The third proportional to 43,503 and 83,550 is: 160,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,503 : 83,550 = 83,550 : x
  2. Step 2: Convert to fraction form
    43,503/83,550 = 83,550/x
  3. Step 3: Cross multiply
    43,503x = 83,550 × 83,550
  4. Step 4: Simplify right side
    43,503x = 6,980,602,500
  5. Step 5: Solve for x
    x = 6,980,602,500/43,503
  6. Step 6: Final answer
    x = 160,462.55

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.