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Finding the Third Proportional to 73,248 and 158,160

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Solution

The third proportional to 73,248 and 158,160 is: 341,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,248 : 158,160 = 158,160 : x
  2. Step 2: Convert to fraction form
    73,248/158,160 = 158,160/x
  3. Step 3: Cross multiply
    73,248x = 158,160 × 158,160
  4. Step 4: Simplify right side
    73,248x = 25,014,585,600
  5. Step 5: Solve for x
    x = 25,014,585,600/73,248
  6. Step 6: Final answer
    x = 341,505.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.