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Finding the Third Proportional to 52,886 and 77,865

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Solution

The third proportional to 52,886 and 77,865 is: 114,642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,886 : 77,865 = 77,865 : x
  2. Step 2: Convert to fraction form
    52,886/77,865 = 77,865/x
  3. Step 3: Cross multiply
    52,886x = 77,865 × 77,865
  4. Step 4: Simplify right side
    52,886x = 6,062,958,225
  5. Step 5: Solve for x
    x = 6,062,958,225/52,886
  6. Step 6: Final answer
    x = 114,642.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.