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Finding the Third Proportional to 127,072 and 267,248.50

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Solution

The third proportional to 127,072 and 267,248.50 is: 562,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,072 : 267,248.50 = 267,248.50 : x
  2. Step 2: Convert to fraction form
    127,072/267,248.50 = 267,248.50/x
  3. Step 3: Cross multiply
    127,072x = 267,248.50 × 267,248.50
  4. Step 4: Simplify right side
    127,072x = 71,421,760,752.25
  5. Step 5: Solve for x
    x = 71,421,760,752.25/127,072
  6. Step 6: Final answer
    x = 562,057.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.