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Finding the Third Proportional to 117,547 and 252,769

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Solution

The third proportional to 117,547 and 252,769 is: 543,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,547 : 252,769 = 252,769 : x
  2. Step 2: Convert to fraction form
    117,547/252,769 = 252,769/x
  3. Step 3: Cross multiply
    117,547x = 252,769 × 252,769
  4. Step 4: Simplify right side
    117,547x = 63,892,167,361
  5. Step 5: Solve for x
    x = 63,892,167,361/117,547
  6. Step 6: Final answer
    x = 543,545.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.