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Finding the Third Proportional to 109,842 and 160,875

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Solution

The third proportional to 109,842 and 160,875 is: 235,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,842 : 160,875 = 160,875 : x
  2. Step 2: Convert to fraction form
    109,842/160,875 = 160,875/x
  3. Step 3: Cross multiply
    109,842x = 160,875 × 160,875
  4. Step 4: Simplify right side
    109,842x = 25,880,765,625
  5. Step 5: Solve for x
    x = 25,880,765,625/109,842
  6. Step 6: Final answer
    x = 235,618.12

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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.