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Finding the Third Proportional to 92,352 and 138,636

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Solution

The third proportional to 92,352 and 138,636 is: 208,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,352 : 138,636 = 138,636 : x
  2. Step 2: Convert to fraction form
    92,352/138,636 = 138,636/x
  3. Step 3: Cross multiply
    92,352x = 138,636 × 138,636
  4. Step 4: Simplify right side
    92,352x = 19,219,940,496
  5. Step 5: Solve for x
    x = 19,219,940,496/92,352
  6. Step 6: Final answer
    x = 208,116.13

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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.