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Finding the Third Proportional to 89,238 and 185,870

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Solution

The third proportional to 89,238 and 185,870 is: 387,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,238 : 185,870 = 185,870 : x
  2. Step 2: Convert to fraction form
    89,238/185,870 = 185,870/x
  3. Step 3: Cross multiply
    89,238x = 185,870 × 185,870
  4. Step 4: Simplify right side
    89,238x = 34,547,656,900
  5. Step 5: Solve for x
    x = 34,547,656,900/89,238
  6. Step 6: Final answer
    x = 387,140.65

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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.