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Finding the Third Proportional to 85,681 and 128,017

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Solution

The third proportional to 85,681 and 128,017 is: 191,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,681 : 128,017 = 128,017 : x
  2. Step 2: Convert to fraction form
    85,681/128,017 = 128,017/x
  3. Step 3: Cross multiply
    85,681x = 128,017 × 128,017
  4. Step 4: Simplify right side
    85,681x = 16,388,352,289
  5. Step 5: Solve for x
    x = 16,388,352,289/85,681
  6. Step 6: Final answer
    x = 191,271.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.