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Finding the Third Proportional to 112,773 and 243,175

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Solution

The third proportional to 112,773 and 243,175 is: 524,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,773 : 243,175 = 243,175 : x
  2. Step 2: Convert to fraction form
    112,773/243,175 = 243,175/x
  3. Step 3: Cross multiply
    112,773x = 243,175 × 243,175
  4. Step 4: Simplify right side
    112,773x = 59,134,080,625
  5. Step 5: Solve for x
    x = 59,134,080,625/112,773
  6. Step 6: Final answer
    x = 524,363.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.