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Finding the Third Proportional to 124,476 and 185,898

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Solution

The third proportional to 124,476 and 185,898 is: 277,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,476 : 185,898 = 185,898 : x
  2. Step 2: Convert to fraction form
    124,476/185,898 = 185,898/x
  3. Step 3: Cross multiply
    124,476x = 185,898 × 185,898
  4. Step 4: Simplify right side
    124,476x = 34,558,066,404
  5. Step 5: Solve for x
    x = 34,558,066,404/124,476
  6. Step 6: Final answer
    x = 277,628.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.