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Finding the Third Proportional to 134,017.50 and 178,791

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Solution

The third proportional to 134,017.50 and 178,791 is: 238,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,017.50 : 178,791 = 178,791 : x
  2. Step 2: Convert to fraction form
    134,017.50/178,791 = 178,791/x
  3. Step 3: Cross multiply
    134,017.50x = 178,791 × 178,791
  4. Step 4: Simplify right side
    134,017.50x = 31,966,221,681
  5. Step 5: Solve for x
    x = 31,966,221,681/134,017.50
  6. Step 6: Final answer
    x = 238,522.74

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.