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Finding the Third Proportional to 126,164 and 275,547

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Solution

The third proportional to 126,164 and 275,547 is: 601,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,164 : 275,547 = 275,547 : x
  2. Step 2: Convert to fraction form
    126,164/275,547 = 275,547/x
  3. Step 3: Cross multiply
    126,164x = 275,547 × 275,547
  4. Step 4: Simplify right side
    126,164x = 75,926,149,209
  5. Step 5: Solve for x
    x = 75,926,149,209/126,164
  6. Step 6: Final answer
    x = 601,805.18

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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.