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Finding the Third Proportional to 112,740 and 174,809

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Solution

The third proportional to 112,740 and 174,809 is: 271,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,740 : 174,809 = 174,809 : x
  2. Step 2: Convert to fraction form
    112,740/174,809 = 174,809/x
  3. Step 3: Cross multiply
    112,740x = 174,809 × 174,809
  4. Step 4: Simplify right side
    112,740x = 30,558,186,481
  5. Step 5: Solve for x
    x = 30,558,186,481/112,740
  6. Step 6: Final answer
    x = 271,050.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.