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Finding the Third Proportional to 73,582 and 158,926

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Solution

The third proportional to 73,582 and 158,926 is: 343,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,582 : 158,926 = 158,926 : x
  2. Step 2: Convert to fraction form
    73,582/158,926 = 158,926/x
  3. Step 3: Cross multiply
    73,582x = 158,926 × 158,926
  4. Step 4: Simplify right side
    73,582x = 25,257,473,476
  5. Step 5: Solve for x
    x = 25,257,473,476/73,582
  6. Step 6: Final answer
    x = 343,256.14

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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.