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Finding the Third Proportional to 126,968 and 168,547

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Solution

The third proportional to 126,968 and 168,547 is: 223,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,968 : 168,547 = 168,547 : x
  2. Step 2: Convert to fraction form
    126,968/168,547 = 168,547/x
  3. Step 3: Cross multiply
    126,968x = 168,547 × 168,547
  4. Step 4: Simplify right side
    126,968x = 28,408,091,209
  5. Step 5: Solve for x
    x = 28,408,091,209/126,968
  6. Step 6: Final answer
    x = 223,742.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.