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Finding the Third Proportional to 125,584 and 189,656

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Solution

The third proportional to 125,584 and 189,656 is: 286,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,584 : 189,656 = 189,656 : x
  2. Step 2: Convert to fraction form
    125,584/189,656 = 189,656/x
  3. Step 3: Cross multiply
    125,584x = 189,656 × 189,656
  4. Step 4: Simplify right side
    125,584x = 35,969,398,336
  5. Step 5: Solve for x
    x = 35,969,398,336/125,584
  6. Step 6: Final answer
    x = 286,417.05

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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.