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Finding the Third Proportional to 42,065.58 and 89,325.28

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Solution

The third proportional to 42,065.58 and 89,325.28 is: 189,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,065.58 : 89,325.28 = 89,325.28 : x
  2. Step 2: Convert to fraction form
    42,065.58/89,325.28 = 89,325.28/x
  3. Step 3: Cross multiply
    42,065.58x = 89,325.28 × 89,325.28
  4. Step 4: Simplify right side
    42,065.58x = 7,979,005,870.39
  5. Step 5: Solve for x
    x = 7,979,005,870.39/42,065.58
  6. Step 6: Final answer
    x = 189,680.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.