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Finding the Third Proportional to 92,308 and 138,307

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Solution

The third proportional to 92,308 and 138,307 is: 207,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,308 : 138,307 = 138,307 : x
  2. Step 2: Convert to fraction form
    92,308/138,307 = 138,307/x
  3. Step 3: Cross multiply
    92,308x = 138,307 × 138,307
  4. Step 4: Simplify right side
    92,308x = 19,128,826,249
  5. Step 5: Solve for x
    x = 19,128,826,249/92,308
  6. Step 6: Final answer
    x = 207,228.26

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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.