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Finding the Third Proportional to 52,675 and 111,547

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Solution

The third proportional to 52,675 and 111,547 is: 236,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,675 : 111,547 = 111,547 : x
  2. Step 2: Convert to fraction form
    52,675/111,547 = 111,547/x
  3. Step 3: Cross multiply
    52,675x = 111,547 × 111,547
  4. Step 4: Simplify right side
    52,675x = 12,442,733,209
  5. Step 5: Solve for x
    x = 12,442,733,209/52,675
  6. Step 6: Final answer
    x = 236,217.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.