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Finding the Third Proportional to 59,538.25 and 127,264.50

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Solution

The third proportional to 59,538.25 and 127,264.50 is: 272,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,538.25 : 127,264.50 = 127,264.50 : x
  2. Step 2: Convert to fraction form
    59,538.25/127,264.50 = 127,264.50/x
  3. Step 3: Cross multiply
    59,538.25x = 127,264.50 × 127,264.50
  4. Step 4: Simplify right side
    59,538.25x = 16,196,252,960.25
  5. Step 5: Solve for x
    x = 16,196,252,960.25/59,538.25
  6. Step 6: Final answer
    x = 272,031.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.