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Finding the Third Proportional to 88,293.94 and 113,369.06

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Solution

The third proportional to 88,293.94 and 113,369.06 is: 145,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,293.94 : 113,369.06 = 113,369.06 : x
  2. Step 2: Convert to fraction form
    88,293.94/113,369.06 = 113,369.06/x
  3. Step 3: Cross multiply
    88,293.94x = 113,369.06 × 113,369.06
  4. Step 4: Simplify right side
    88,293.94x = 12,852,544,332.13
  5. Step 5: Solve for x
    x = 12,852,544,332.13/88,293.94
  6. Step 6: Final answer
    x = 145,565.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.