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Finding the Third Proportional to 112,281.19 and 164,041.03

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Solution

The third proportional to 112,281.19 and 164,041.03 is: 239,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,281.19 : 164,041.03 = 164,041.03 : x
  2. Step 2: Convert to fraction form
    112,281.19/164,041.03 = 164,041.03/x
  3. Step 3: Cross multiply
    112,281.19x = 164,041.03 × 164,041.03
  4. Step 4: Simplify right side
    112,281.19x = 26,909,459,933.56
  5. Step 5: Solve for x
    x = 26,909,459,933.56/112,281.19
  6. Step 6: Final answer
    x = 239,661.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.