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Finding the Third Proportional to 60,025.50 and 128,946

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Solution

The third proportional to 60,025.50 and 128,946 is: 277,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,025.50 : 128,946 = 128,946 : x
  2. Step 2: Convert to fraction form
    60,025.50/128,946 = 128,946/x
  3. Step 3: Cross multiply
    60,025.50x = 128,946 × 128,946
  4. Step 4: Simplify right side
    60,025.50x = 16,627,070,916
  5. Step 5: Solve for x
    x = 16,627,070,916/60,025.50
  6. Step 6: Final answer
    x = 277,000.12

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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.