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Finding the Third Proportional to 89,273 and 185,953

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Solution

The third proportional to 89,273 and 185,953 is: 387,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,273 : 185,953 = 185,953 : x
  2. Step 2: Convert to fraction form
    89,273/185,953 = 185,953/x
  3. Step 3: Cross multiply
    89,273x = 185,953 × 185,953
  4. Step 4: Simplify right side
    89,273x = 34,578,518,209
  5. Step 5: Solve for x
    x = 34,578,518,209/89,273
  6. Step 6: Final answer
    x = 387,334.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.