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Finding the Third Proportional to 75,840.21 and 163,506.01

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Solution

The third proportional to 75,840.21 and 163,506.01 is: 352,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,840.21 : 163,506.01 = 163,506.01 : x
  2. Step 2: Convert to fraction form
    75,840.21/163,506.01 = 163,506.01/x
  3. Step 3: Cross multiply
    75,840.21x = 163,506.01 × 163,506.01
  4. Step 4: Simplify right side
    75,840.21x = 26,734,216,826.22
  5. Step 5: Solve for x
    x = 26,734,216,826.22/75,840.21
  6. Step 6: Final answer
    x = 352,507.18

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