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Finding the Third Proportional to 100,848 and 147,480

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Solution

The third proportional to 100,848 and 147,480 is: 215,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,848 : 147,480 = 147,480 : x
  2. Step 2: Convert to fraction form
    100,848/147,480 = 147,480/x
  3. Step 3: Cross multiply
    100,848x = 147,480 × 147,480
  4. Step 4: Simplify right side
    100,848x = 21,750,350,400
  5. Step 5: Solve for x
    x = 21,750,350,400/100,848
  6. Step 6: Final answer
    x = 215,674.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.