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Finding the Third Proportional to 73,140 and 152,028

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Solution

The third proportional to 73,140 and 152,028 is: 316,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,140 : 152,028 = 152,028 : x
  2. Step 2: Convert to fraction form
    73,140/152,028 = 152,028/x
  3. Step 3: Cross multiply
    73,140x = 152,028 × 152,028
  4. Step 4: Simplify right side
    73,140x = 23,112,512,784
  5. Step 5: Solve for x
    x = 23,112,512,784/73,140
  6. Step 6: Final answer
    x = 316,003.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.