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Finding the Third Proportional to 121,014 and 263,547

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Solution

The third proportional to 121,014 and 263,547 is: 573,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,014 : 263,547 = 263,547 : x
  2. Step 2: Convert to fraction form
    121,014/263,547 = 263,547/x
  3. Step 3: Cross multiply
    121,014x = 263,547 × 263,547
  4. Step 4: Simplify right side
    121,014x = 69,457,021,209
  5. Step 5: Solve for x
    x = 69,457,021,209/121,014
  6. Step 6: Final answer
    x = 573,958.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.