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Finding the Third Proportional to 109,154 and 160,659

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Solution

The third proportional to 109,154 and 160,659 is: 236,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,154 : 160,659 = 160,659 : x
  2. Step 2: Convert to fraction form
    109,154/160,659 = 160,659/x
  3. Step 3: Cross multiply
    109,154x = 160,659 × 160,659
  4. Step 4: Simplify right side
    109,154x = 25,811,314,281
  5. Step 5: Solve for x
    x = 25,811,314,281/109,154
  6. Step 6: Final answer
    x = 236,466.96

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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.