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Finding the Third Proportional to 75,830.63 and 114,790.13

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Solution

The third proportional to 75,830.63 and 114,790.13 is: 173,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,830.63 : 114,790.13 = 114,790.13 : x
  2. Step 2: Convert to fraction form
    75,830.63/114,790.13 = 114,790.13/x
  3. Step 3: Cross multiply
    75,830.63x = 114,790.13 × 114,790.13
  4. Step 4: Simplify right side
    75,830.63x = 13,176,772,797.52
  5. Step 5: Solve for x
    x = 13,176,772,797.52/75,830.63
  6. Step 6: Final answer
    x = 173,765.85

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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.