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Finding the Third Proportional to 55,834.50 and 121,707

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Solution

The third proportional to 55,834.50 and 121,707 is: 265,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,834.50 : 121,707 = 121,707 : x
  2. Step 2: Convert to fraction form
    55,834.50/121,707 = 121,707/x
  3. Step 3: Cross multiply
    55,834.50x = 121,707 × 121,707
  4. Step 4: Simplify right side
    55,834.50x = 14,812,593,849
  5. Step 5: Solve for x
    x = 14,812,593,849/55,834.50
  6. Step 6: Final answer
    x = 265,294.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.