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Finding the Third Proportional to 56,662 and 83,426

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Solution

The third proportional to 56,662 and 83,426 is: 122,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,662 : 83,426 = 83,426 : x
  2. Step 2: Convert to fraction form
    56,662/83,426 = 83,426/x
  3. Step 3: Cross multiply
    56,662x = 83,426 × 83,426
  4. Step 4: Simplify right side
    56,662x = 6,959,897,476
  5. Step 5: Solve for x
    x = 6,959,897,476/56,662
  6. Step 6: Final answer
    x = 122,831.84

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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.