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Finding the Third Proportional to 76,473 and 112,453

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Solution

The third proportional to 76,473 and 112,453 is: 165,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473 : 112,453 = 112,453 : x
  2. Step 2: Convert to fraction form
    76,473/112,453 = 112,453/x
  3. Step 3: Cross multiply
    76,473x = 112,453 × 112,453
  4. Step 4: Simplify right side
    76,473x = 12,645,677,209
  5. Step 5: Solve for x
    x = 12,645,677,209/76,473
  6. Step 6: Final answer
    x = 165,361.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.