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Finding the Third Proportional to 70,253.44 and 107,139.94

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Solution

The third proportional to 70,253.44 and 107,139.94 is: 163,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,253.44 : 107,139.94 = 107,139.94 : x
  2. Step 2: Convert to fraction form
    70,253.44/107,139.94 = 107,139.94/x
  3. Step 3: Cross multiply
    70,253.44x = 107,139.94 × 107,139.94
  4. Step 4: Simplify right side
    70,253.44x = 11,478,966,207.50
  5. Step 5: Solve for x
    x = 11,478,966,207.50/70,253.44
  6. Step 6: Final answer
    x = 163,393.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.