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Finding the Third Proportional to 92,370.69 and 138,966.10

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Solution

The third proportional to 92,370.69 and 138,966.10 is: 209,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,370.69 : 138,966.10 = 138,966.10 : x
  2. Step 2: Convert to fraction form
    92,370.69/138,966.10 = 138,966.10/x
  3. Step 3: Cross multiply
    92,370.69x = 138,966.10 × 138,966.10
  4. Step 4: Simplify right side
    92,370.69x = 19,311,576,840.64
  5. Step 5: Solve for x
    x = 19,311,576,840.64/92,370.69
  6. Step 6: Final answer
    x = 209,066.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.