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Finding the Third Proportional to 54,507 and 127,276.50

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Solution

The third proportional to 54,507 and 127,276.50 is: 297,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,507 : 127,276.50 = 127,276.50 : x
  2. Step 2: Convert to fraction form
    54,507/127,276.50 = 127,276.50/x
  3. Step 3: Cross multiply
    54,507x = 127,276.50 × 127,276.50
  4. Step 4: Simplify right side
    54,507x = 16,199,307,452.25
  5. Step 5: Solve for x
    x = 16,199,307,452.25/54,507
  6. Step 6: Final answer
    x = 297,196.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.