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Finding the Third Proportional to 113,422 and 167,547

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Solution

The third proportional to 113,422 and 167,547 is: 247,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,422 : 167,547 = 167,547 : x
  2. Step 2: Convert to fraction form
    113,422/167,547 = 167,547/x
  3. Step 3: Cross multiply
    113,422x = 167,547 × 167,547
  4. Step 4: Simplify right side
    113,422x = 28,071,997,209
  5. Step 5: Solve for x
    x = 28,071,997,209/113,422
  6. Step 6: Final answer
    x = 247,500.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.