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Finding the Third Proportional to 88,284 and 113,352

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Solution

The third proportional to 88,284 and 113,352 is: 145,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,284 : 113,352 = 113,352 : x
  2. Step 2: Convert to fraction form
    88,284/113,352 = 113,352/x
  3. Step 3: Cross multiply
    88,284x = 113,352 × 113,352
  4. Step 4: Simplify right side
    88,284x = 12,848,675,904
  5. Step 5: Solve for x
    x = 12,848,675,904/88,284
  6. Step 6: Final answer
    x = 145,537.99

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.