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Finding the Third Proportional to 76,325 and 112,280

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Solution

The third proportional to 76,325 and 112,280 is: 165,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,325 : 112,280 = 112,280 : x
  2. Step 2: Convert to fraction form
    76,325/112,280 = 112,280/x
  3. Step 3: Cross multiply
    76,325x = 112,280 × 112,280
  4. Step 4: Simplify right side
    76,325x = 12,606,798,400
  5. Step 5: Solve for x
    x = 12,606,798,400/76,325
  6. Step 6: Final answer
    x = 165,172.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.