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Finding the Third Proportional to 125,562.94 and 189,477.28

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Solution

The third proportional to 125,562.94 and 189,477.28 is: 285,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,562.94 : 189,477.28 = 189,477.28 : x
  2. Step 2: Convert to fraction form
    125,562.94/189,477.28 = 189,477.28/x
  3. Step 3: Cross multiply
    125,562.94x = 189,477.28 × 189,477.28
  4. Step 4: Simplify right side
    125,562.94x = 35,901,640,109.89
  5. Step 5: Solve for x
    x = 35,901,640,109.89/125,562.94
  6. Step 6: Final answer
    x = 285,925.46

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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.