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Finding the Third Proportional to 89,059.50 and 127,572

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Solution

The third proportional to 89,059.50 and 127,572 is: 182,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,059.50 : 127,572 = 127,572 : x
  2. Step 2: Convert to fraction form
    89,059.50/127,572 = 127,572/x
  3. Step 3: Cross multiply
    89,059.50x = 127,572 × 127,572
  4. Step 4: Simplify right side
    89,059.50x = 16,274,615,184
  5. Step 5: Solve for x
    x = 16,274,615,184/89,059.50
  6. Step 6: Final answer
    x = 182,738.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.