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Finding the Third Proportional to 74,935.13 and 175,537.13

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Solution

The third proportional to 74,935.13 and 175,537.13 is: 411,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,935.13 : 175,537.13 = 175,537.13 : x
  2. Step 2: Convert to fraction form
    74,935.13/175,537.13 = 175,537.13/x
  3. Step 3: Cross multiply
    74,935.13x = 175,537.13 × 175,537.13
  4. Step 4: Simplify right side
    74,935.13x = 30,813,282,253.27
  5. Step 5: Solve for x
    x = 30,813,282,253.27/74,935.13
  6. Step 6: Final answer
    x = 411,199.45

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.