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Finding the Third Proportional to 60,216 and 89,454

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Solution

The third proportional to 60,216 and 89,454 is: 132,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,216 : 89,454 = 89,454 : x
  2. Step 2: Convert to fraction form
    60,216/89,454 = 89,454/x
  3. Step 3: Cross multiply
    60,216x = 89,454 × 89,454
  4. Step 4: Simplify right side
    60,216x = 8,002,018,116
  5. Step 5: Solve for x
    x = 8,002,018,116/60,216
  6. Step 6: Final answer
    x = 132,888.57

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Why These Related Problems?

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