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Finding the Third Proportional to 78,465.38 and 114,051.38

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Solution

The third proportional to 78,465.38 and 114,051.38 is: 165,776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.38 : 114,051.38 = 114,051.38 : x
  2. Step 2: Convert to fraction form
    78,465.38/114,051.38 = 114,051.38/x
  3. Step 3: Cross multiply
    78,465.38x = 114,051.38 × 114,051.38
  4. Step 4: Simplify right side
    78,465.38x = 13,007,716,139.39
  5. Step 5: Solve for x
    x = 13,007,716,139.39/78,465.38
  6. Step 6: Final answer
    x = 165,776.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.