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Finding the Third Proportional to 42,595 and 89,602

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Solution

The third proportional to 42,595 and 89,602 is: 188,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,595 : 89,602 = 89,602 : x
  2. Step 2: Convert to fraction form
    42,595/89,602 = 89,602/x
  3. Step 3: Cross multiply
    42,595x = 89,602 × 89,602
  4. Step 4: Simplify right side
    42,595x = 8,028,518,404
  5. Step 5: Solve for x
    x = 8,028,518,404/42,595
  6. Step 6: Final answer
    x = 188,485.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.