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Finding the Third Proportional to 42,004 and 80,929

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Solution

The third proportional to 42,004 and 80,929 is: 155,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,004 : 80,929 = 80,929 : x
  2. Step 2: Convert to fraction form
    42,004/80,929 = 80,929/x
  3. Step 3: Cross multiply
    42,004x = 80,929 × 80,929
  4. Step 4: Simplify right side
    42,004x = 6,549,503,041
  5. Step 5: Solve for x
    x = 6,549,503,041/42,004
  6. Step 6: Final answer
    x = 155,925.70

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.