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Finding the Third Proportional to 89,407 and 125,295

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Solution

The third proportional to 89,407 and 125,295 is: 175,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,407 : 125,295 = 125,295 : x
  2. Step 2: Convert to fraction form
    89,407/125,295 = 125,295/x
  3. Step 3: Cross multiply
    89,407x = 125,295 × 125,295
  4. Step 4: Simplify right side
    89,407x = 15,698,837,025
  5. Step 5: Solve for x
    x = 15,698,837,025/89,407
  6. Step 6: Final answer
    x = 175,588.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.