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Finding the Third Proportional to 50,582 and 112,396

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Solution

The third proportional to 50,582 and 112,396 is: 249,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,582 : 112,396 = 112,396 : x
  2. Step 2: Convert to fraction form
    50,582/112,396 = 112,396/x
  3. Step 3: Cross multiply
    50,582x = 112,396 × 112,396
  4. Step 4: Simplify right side
    50,582x = 12,632,860,816
  5. Step 5: Solve for x
    x = 12,632,860,816/50,582
  6. Step 6: Final answer
    x = 249,750.12

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.