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Finding the Third Proportional to 56,281 and 89,120

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Solution

The third proportional to 56,281 and 89,120 is: 141,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,281 : 89,120 = 89,120 : x
  2. Step 2: Convert to fraction form
    56,281/89,120 = 89,120/x
  3. Step 3: Cross multiply
    56,281x = 89,120 × 89,120
  4. Step 4: Simplify right side
    56,281x = 7,942,374,400
  5. Step 5: Solve for x
    x = 7,942,374,400/56,281
  6. Step 6: Final answer
    x = 141,119.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.