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Finding the Third Proportional to 60,639.25 and 127,561.63

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Solution

The third proportional to 60,639.25 and 127,561.63 is: 268,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,639.25 : 127,561.63 = 127,561.63 : x
  2. Step 2: Convert to fraction form
    60,639.25/127,561.63 = 127,561.63/x
  3. Step 3: Cross multiply
    60,639.25x = 127,561.63 × 127,561.63
  4. Step 4: Simplify right side
    60,639.25x = 16,271,968,172.64
  5. Step 5: Solve for x
    x = 16,271,968,172.64/60,639.25
  6. Step 6: Final answer
    x = 268,340.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.