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Finding the Third Proportional to 77,756.63 and 170,299.13

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Solution

The third proportional to 77,756.63 and 170,299.13 is: 372,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,756.63 : 170,299.13 = 170,299.13 : x
  2. Step 2: Convert to fraction form
    77,756.63/170,299.13 = 170,299.13/x
  3. Step 3: Cross multiply
    77,756.63x = 170,299.13 × 170,299.13
  4. Step 4: Simplify right side
    77,756.63x = 29,001,791,975.77
  5. Step 5: Solve for x
    x = 29,001,791,975.77/77,756.63
  6. Step 6: Final answer
    x = 372,981.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.