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Finding the Third Proportional to 124,638.75 and 186,916.50

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Solution

The third proportional to 124,638.75 and 186,916.50 is: 280,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,638.75 : 186,916.50 = 186,916.50 : x
  2. Step 2: Convert to fraction form
    124,638.75/186,916.50 = 186,916.50/x
  3. Step 3: Cross multiply
    124,638.75x = 186,916.50 × 186,916.50
  4. Step 4: Simplify right side
    124,638.75x = 34,937,777,972.25
  5. Step 5: Solve for x
    x = 34,937,777,972.25/124,638.75
  6. Step 6: Final answer
    x = 280,312.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.