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Finding the Third Proportional to 70,756.88 and 107,048.25

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Solution

The third proportional to 70,756.88 and 107,048.25 is: 161,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,756.88 : 107,048.25 = 107,048.25 : x
  2. Step 2: Convert to fraction form
    70,756.88/107,048.25 = 107,048.25/x
  3. Step 3: Cross multiply
    70,756.88x = 107,048.25 × 107,048.25
  4. Step 4: Simplify right side
    70,756.88x = 11,459,327,828.06
  5. Step 5: Solve for x
    x = 11,459,327,828.06/70,756.88
  6. Step 6: Final answer
    x = 161,953.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.