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Finding the Third Proportional to 127,615.50 and 272,443.50

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Solution

The third proportional to 127,615.50 and 272,443.50 is: 581,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,615.50 : 272,443.50 = 272,443.50 : x
  2. Step 2: Convert to fraction form
    127,615.50/272,443.50 = 272,443.50/x
  3. Step 3: Cross multiply
    127,615.50x = 272,443.50 × 272,443.50
  4. Step 4: Simplify right side
    127,615.50x = 74,225,460,692.25
  5. Step 5: Solve for x
    x = 74,225,460,692.25/127,615.50
  6. Step 6: Final answer
    x = 581,633.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.