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Finding the Third Proportional to 89,307 and 121,621.50

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Solution

The third proportional to 89,307 and 121,621.50 is: 165,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307 : 121,621.50 = 121,621.50 : x
  2. Step 2: Convert to fraction form
    89,307/121,621.50 = 121,621.50/x
  3. Step 3: Cross multiply
    89,307x = 121,621.50 × 121,621.50
  4. Step 4: Simplify right side
    89,307x = 14,791,789,262.25
  5. Step 5: Solve for x
    x = 14,791,789,262.25/89,307
  6. Step 6: Final answer
    x = 165,628.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.