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Finding the Third Proportional to 59,095.50 and 123,177

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Solution

The third proportional to 59,095.50 and 123,177 is: 256,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,095.50 : 123,177 = 123,177 : x
  2. Step 2: Convert to fraction form
    59,095.50/123,177 = 123,177/x
  3. Step 3: Cross multiply
    59,095.50x = 123,177 × 123,177
  4. Step 4: Simplify right side
    59,095.50x = 15,172,573,329
  5. Step 5: Solve for x
    x = 15,172,573,329/59,095.50
  6. Step 6: Final answer
    x = 256,746.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.