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Finding the Third Proportional to 73,240 and 109,862

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Solution

The third proportional to 73,240 and 109,862 is: 164,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,240 : 109,862 = 109,862 : x
  2. Step 2: Convert to fraction form
    73,240/109,862 = 109,862/x
  3. Step 3: Cross multiply
    73,240x = 109,862 × 109,862
  4. Step 4: Simplify right side
    73,240x = 12,069,659,044
  5. Step 5: Solve for x
    x = 12,069,659,044/73,240
  6. Step 6: Final answer
    x = 164,796.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.