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Finding the Third Proportional to 74,437.50 and 175,572

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Solution

The third proportional to 74,437.50 and 175,572 is: 414,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,437.50 : 175,572 = 175,572 : x
  2. Step 2: Convert to fraction form
    74,437.50/175,572 = 175,572/x
  3. Step 3: Cross multiply
    74,437.50x = 175,572 × 175,572
  4. Step 4: Simplify right side
    74,437.50x = 30,825,527,184
  5. Step 5: Solve for x
    x = 30,825,527,184/74,437.50
  6. Step 6: Final answer
    x = 414,112.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.