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Finding the Third Proportional to 89,213 and 122,335

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Solution

The third proportional to 89,213 and 122,335 is: 167,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,213 : 122,335 = 122,335 : x
  2. Step 2: Convert to fraction form
    89,213/122,335 = 122,335/x
  3. Step 3: Cross multiply
    89,213x = 122,335 × 122,335
  4. Step 4: Simplify right side
    89,213x = 14,965,852,225
  5. Step 5: Solve for x
    x = 14,965,852,225/89,213
  6. Step 6: Final answer
    x = 167,754.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.