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Finding the Third Proportional to 100,776 and 153,168

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Solution

The third proportional to 100,776 and 153,168 is: 232,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,776 : 153,168 = 153,168 : x
  2. Step 2: Convert to fraction form
    100,776/153,168 = 153,168/x
  3. Step 3: Cross multiply
    100,776x = 153,168 × 153,168
  4. Step 4: Simplify right side
    100,776x = 23,460,436,224
  5. Step 5: Solve for x
    x = 23,460,436,224/100,776
  6. Step 6: Final answer
    x = 232,797.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.