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Finding the Third Proportional to 92,342 and 138,513

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Solution

The third proportional to 92,342 and 138,513 is: 207,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,342 : 138,513 = 138,513 : x
  2. Step 2: Convert to fraction form
    92,342/138,513 = 138,513/x
  3. Step 3: Cross multiply
    92,342x = 138,513 × 138,513
  4. Step 4: Simplify right side
    92,342x = 19,185,851,169
  5. Step 5: Solve for x
    x = 19,185,851,169/92,342
  6. Step 6: Final answer
    x = 207,769.50

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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.