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Finding the Third Proportional to 77,584 and 113,346

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Solution

The third proportional to 77,584 and 113,346 is: 165,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584 : 113,346 = 113,346 : x
  2. Step 2: Convert to fraction form
    77,584/113,346 = 113,346/x
  3. Step 3: Cross multiply
    77,584x = 113,346 × 113,346
  4. Step 4: Simplify right side
    77,584x = 12,847,315,716
  5. Step 5: Solve for x
    x = 12,847,315,716/77,584
  6. Step 6: Final answer
    x = 165,592.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.