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Finding the Third Proportional to 60,033 and 128,960

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Solution

The third proportional to 60,033 and 128,960 is: 277,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,033 : 128,960 = 128,960 : x
  2. Step 2: Convert to fraction form
    60,033/128,960 = 128,960/x
  3. Step 3: Cross multiply
    60,033x = 128,960 × 128,960
  4. Step 4: Simplify right side
    60,033x = 16,630,681,600
  5. Step 5: Solve for x
    x = 16,630,681,600/60,033
  6. Step 6: Final answer
    x = 277,025.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.