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Finding the Third Proportional to 72,528 and 110,250

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Solution

The third proportional to 72,528 and 110,250 is: 167,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,528 : 110,250 = 110,250 : x
  2. Step 2: Convert to fraction form
    72,528/110,250 = 110,250/x
  3. Step 3: Cross multiply
    72,528x = 110,250 × 110,250
  4. Step 4: Simplify right side
    72,528x = 12,155,062,500
  5. Step 5: Solve for x
    x = 12,155,062,500/72,528
  6. Step 6: Final answer
    x = 167,591.31

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