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Finding the Third Proportional to 51,762.80 and 111,681.28

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Solution

The third proportional to 51,762.80 and 111,681.28 is: 240,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762.80 : 111,681.28 = 111,681.28 : x
  2. Step 2: Convert to fraction form
    51,762.80/111,681.28 = 111,681.28/x
  3. Step 3: Cross multiply
    51,762.80x = 111,681.28 × 111,681.28
  4. Step 4: Simplify right side
    51,762.80x = 12,472,708,581.64
  5. Step 5: Solve for x
    x = 12,472,708,581.64/51,762.80
  6. Step 6: Final answer
    x = 240,958.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.