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Finding the Third Proportional to 112,719 and 175,810.50

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Solution

The third proportional to 112,719 and 175,810.50 is: 274,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,719 : 175,810.50 = 175,810.50 : x
  2. Step 2: Convert to fraction form
    112,719/175,810.50 = 175,810.50/x
  3. Step 3: Cross multiply
    112,719x = 175,810.50 × 175,810.50
  4. Step 4: Simplify right side
    112,719x = 30,909,331,910.25
  5. Step 5: Solve for x
    x = 30,909,331,910.25/112,719
  6. Step 6: Final answer
    x = 274,215.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.