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Finding the Third Proportional to 75,908.81 and 115,873.88

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Solution

The third proportional to 75,908.81 and 115,873.88 is: 176,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,908.81 : 115,873.88 = 115,873.88 : x
  2. Step 2: Convert to fraction form
    75,908.81/115,873.88 = 115,873.88/x
  3. Step 3: Cross multiply
    75,908.81x = 115,873.88 × 115,873.88
  4. Step 4: Simplify right side
    75,908.81x = 13,426,754,907.52
  5. Step 5: Solve for x
    x = 13,426,754,907.52/75,908.81
  6. Step 6: Final answer
    x = 176,880.05

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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.