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Finding the Third Proportional to 49,095.50 and 77,865

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Solution

The third proportional to 49,095.50 and 77,865 is: 123,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,095.50 : 77,865 = 77,865 : x
  2. Step 2: Convert to fraction form
    49,095.50/77,865 = 77,865/x
  3. Step 3: Cross multiply
    49,095.50x = 77,865 × 77,865
  4. Step 4: Simplify right side
    49,095.50x = 6,062,958,225
  5. Step 5: Solve for x
    x = 6,062,958,225/49,095.50
  6. Step 6: Final answer
    x = 123,493.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.