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Finding the Third Proportional to 60,226 and 89,468

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Solution

The third proportional to 60,226 and 89,468 is: 132,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,226 : 89,468 = 89,468 : x
  2. Step 2: Convert to fraction form
    60,226/89,468 = 89,468/x
  3. Step 3: Cross multiply
    60,226x = 89,468 × 89,468
  4. Step 4: Simplify right side
    60,226x = 8,004,523,024
  5. Step 5: Solve for x
    x = 8,004,523,024/60,226
  6. Step 6: Final answer
    x = 132,908.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.