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Finding the Third Proportional to 65,308.50 and 133,384.50

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Solution

The third proportional to 65,308.50 and 133,384.50 is: 272,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,308.50 : 133,384.50 = 133,384.50 : x
  2. Step 2: Convert to fraction form
    65,308.50/133,384.50 = 133,384.50/x
  3. Step 3: Cross multiply
    65,308.50x = 133,384.50 × 133,384.50
  4. Step 4: Simplify right side
    65,308.50x = 17,791,424,840.25
  5. Step 5: Solve for x
    x = 17,791,424,840.25/65,308.50
  6. Step 6: Final answer
    x = 272,421.28

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.