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Finding the Third Proportional to 89,220 and 185,841

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Solution

The third proportional to 89,220 and 185,841 is: 387,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,220 : 185,841 = 185,841 : x
  2. Step 2: Convert to fraction form
    89,220/185,841 = 185,841/x
  3. Step 3: Cross multiply
    89,220x = 185,841 × 185,841
  4. Step 4: Simplify right side
    89,220x = 34,536,877,281
  5. Step 5: Solve for x
    x = 34,536,877,281/89,220
  6. Step 6: Final answer
    x = 387,097.93

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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.