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Finding the Third Proportional to 107,776 and 235,600

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Solution

The third proportional to 107,776 and 235,600 is: 515,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,776 : 235,600 = 235,600 : x
  2. Step 2: Convert to fraction form
    107,776/235,600 = 235,600/x
  3. Step 3: Cross multiply
    107,776x = 235,600 × 235,600
  4. Step 4: Simplify right side
    107,776x = 55,507,360,000
  5. Step 5: Solve for x
    x = 55,507,360,000/107,776
  6. Step 6: Final answer
    x = 515,025.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.