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Finding the Third Proportional to 55,050 and 120,792

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Solution

The third proportional to 55,050 and 120,792 is: 265,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,050 : 120,792 = 120,792 : x
  2. Step 2: Convert to fraction form
    55,050/120,792 = 120,792/x
  3. Step 3: Cross multiply
    55,050x = 120,792 × 120,792
  4. Step 4: Simplify right side
    55,050x = 14,590,707,264
  5. Step 5: Solve for x
    x = 14,590,707,264/55,050
  6. Step 6: Final answer
    x = 265,044.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.