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Finding the Third Proportional to 52,547 and 78,874

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Solution

The third proportional to 52,547 and 78,874 is: 118,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,547 : 78,874 = 78,874 : x
  2. Step 2: Convert to fraction form
    52,547/78,874 = 78,874/x
  3. Step 3: Cross multiply
    52,547x = 78,874 × 78,874
  4. Step 4: Simplify right side
    52,547x = 6,221,107,876
  5. Step 5: Solve for x
    x = 6,221,107,876/52,547
  6. Step 6: Final answer
    x = 118,391.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.