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Finding the Third Proportional to 101,316 and 152,028

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Solution

The third proportional to 101,316 and 152,028 is: 228,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,316 : 152,028 = 152,028 : x
  2. Step 2: Convert to fraction form
    101,316/152,028 = 152,028/x
  3. Step 3: Cross multiply
    101,316x = 152,028 × 152,028
  4. Step 4: Simplify right side
    101,316x = 23,112,512,784
  5. Step 5: Solve for x
    x = 23,112,512,784/101,316
  6. Step 6: Final answer
    x = 228,123.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.