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Finding the Third Proportional to 109,120 and 160,224

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Solution

The third proportional to 109,120 and 160,224 is: 235,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,120 : 160,224 = 160,224 : x
  2. Step 2: Convert to fraction form
    109,120/160,224 = 160,224/x
  3. Step 3: Cross multiply
    109,120x = 160,224 × 160,224
  4. Step 4: Simplify right side
    109,120x = 25,671,730,176
  5. Step 5: Solve for x
    x = 25,671,730,176/109,120
  6. Step 6: Final answer
    x = 235,261.46

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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.