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Finding the Third Proportional to 85,368.94 and 123,332.63

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Solution

The third proportional to 85,368.94 and 123,332.63 is: 178,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,368.94 : 123,332.63 = 123,332.63 : x
  2. Step 2: Convert to fraction form
    85,368.94/123,332.63 = 123,332.63/x
  3. Step 3: Cross multiply
    85,368.94x = 123,332.63 × 123,332.63
  4. Step 4: Simplify right side
    85,368.94x = 15,210,936,389.39
  5. Step 5: Solve for x
    x = 15,210,936,389.39/85,368.94
  6. Step 6: Final answer
    x = 178,178.82

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.