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Finding the Third Proportional to 125,977.50 and 195,345

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Solution

The third proportional to 125,977.50 and 195,345 is: 302,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,977.50 : 195,345 = 195,345 : x
  2. Step 2: Convert to fraction form
    125,977.50/195,345 = 195,345/x
  3. Step 3: Cross multiply
    125,977.50x = 195,345 × 195,345
  4. Step 4: Simplify right side
    125,977.50x = 38,159,669,025
  5. Step 5: Solve for x
    x = 38,159,669,025/125,977.50
  6. Step 6: Final answer
    x = 302,908.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.