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Finding the Third Proportional to 73,984 and 112,820

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Solution

The third proportional to 73,984 and 112,820 is: 172,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,984 : 112,820 = 112,820 : x
  2. Step 2: Convert to fraction form
    73,984/112,820 = 112,820/x
  3. Step 3: Cross multiply
    73,984x = 112,820 × 112,820
  4. Step 4: Simplify right side
    73,984x = 12,728,352,400
  5. Step 5: Solve for x
    x = 12,728,352,400/73,984
  6. Step 6: Final answer
    x = 172,041.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.