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Finding the Third Proportional to 107,044 and 235,275

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Solution

The third proportional to 107,044 and 235,275 is: 517,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,044 : 235,275 = 235,275 : x
  2. Step 2: Convert to fraction form
    107,044/235,275 = 235,275/x
  3. Step 3: Cross multiply
    107,044x = 235,275 × 235,275
  4. Step 4: Simplify right side
    107,044x = 55,354,325,625
  5. Step 5: Solve for x
    x = 55,354,325,625/107,044
  6. Step 6: Final answer
    x = 517,117.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.