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Finding the Third Proportional to 92,582 and 138,265

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Solution

The third proportional to 92,582 and 138,265 is: 206,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,582 : 138,265 = 138,265 : x
  2. Step 2: Convert to fraction form
    92,582/138,265 = 138,265/x
  3. Step 3: Cross multiply
    92,582x = 138,265 × 138,265
  4. Step 4: Simplify right side
    92,582x = 19,117,210,225
  5. Step 5: Solve for x
    x = 19,117,210,225/92,582
  6. Step 6: Final answer
    x = 206,489.49

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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.