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Finding the Third Proportional to 109,152 and 160,656

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Solution

The third proportional to 109,152 and 160,656 is: 236,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,152 : 160,656 = 160,656 : x
  2. Step 2: Convert to fraction form
    109,152/160,656 = 160,656/x
  3. Step 3: Cross multiply
    109,152x = 160,656 × 160,656
  4. Step 4: Simplify right side
    109,152x = 25,810,350,336
  5. Step 5: Solve for x
    x = 25,810,350,336/109,152
  6. Step 6: Final answer
    x = 236,462.46

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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.