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Finding the Third Proportional to 105,392 and 160,715

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Solution

The third proportional to 105,392 and 160,715 is: 245,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,392 : 160,715 = 160,715 : x
  2. Step 2: Convert to fraction form
    105,392/160,715 = 160,715/x
  3. Step 3: Cross multiply
    105,392x = 160,715 × 160,715
  4. Step 4: Simplify right side
    105,392x = 25,829,311,225
  5. Step 5: Solve for x
    x = 25,829,311,225/105,392
  6. Step 6: Final answer
    x = 245,078.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.