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Finding the Third Proportional to 62,271.28 and 128,973.52

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Solution

The third proportional to 62,271.28 and 128,973.52 is: 267,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,271.28 : 128,973.52 = 128,973.52 : x
  2. Step 2: Convert to fraction form
    62,271.28/128,973.52 = 128,973.52/x
  3. Step 3: Cross multiply
    62,271.28x = 128,973.52 × 128,973.52
  4. Step 4: Simplify right side
    62,271.28x = 16,634,167,732.67
  5. Step 5: Solve for x
    x = 16,634,167,732.67/62,271.28
  6. Step 6: Final answer
    x = 267,124.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.