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Finding the Third Proportional to 40,582 and 88,014

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Solution

The third proportional to 40,582 and 88,014 is: 190,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,582 : 88,014 = 88,014 : x
  2. Step 2: Convert to fraction form
    40,582/88,014 = 88,014/x
  3. Step 3: Cross multiply
    40,582x = 88,014 × 88,014
  4. Step 4: Simplify right side
    40,582x = 7,746,464,196
  5. Step 5: Solve for x
    x = 7,746,464,196/40,582
  6. Step 6: Final answer
    x = 190,884.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.