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Finding the Third Proportional to 101,488 and 152,250

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Solution

The third proportional to 101,488 and 152,250 is: 228,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,488 : 152,250 = 152,250 : x
  2. Step 2: Convert to fraction form
    101,488/152,250 = 152,250/x
  3. Step 3: Cross multiply
    101,488x = 152,250 × 152,250
  4. Step 4: Simplify right side
    101,488x = 23,180,062,500
  5. Step 5: Solve for x
    x = 23,180,062,500/101,488
  6. Step 6: Final answer
    x = 228,402.00

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