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Finding the Third Proportional to 73,564 and 112,715

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Solution

The third proportional to 73,564 and 112,715 is: 172,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564 : 112,715 = 112,715 : x
  2. Step 2: Convert to fraction form
    73,564/112,715 = 112,715/x
  3. Step 3: Cross multiply
    73,564x = 112,715 × 112,715
  4. Step 4: Simplify right side
    73,564x = 12,704,671,225
  5. Step 5: Solve for x
    x = 12,704,671,225/73,564
  6. Step 6: Final answer
    x = 172,702.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.