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Finding the Third Proportional to 56,746 and 85,909

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Solution

The third proportional to 56,746 and 85,909 is: 130,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,746 : 85,909 = 85,909 : x
  2. Step 2: Convert to fraction form
    56,746/85,909 = 85,909/x
  3. Step 3: Cross multiply
    56,746x = 85,909 × 85,909
  4. Step 4: Simplify right side
    56,746x = 7,380,356,281
  5. Step 5: Solve for x
    x = 7,380,356,281/56,746
  6. Step 6: Final answer
    x = 130,059.50

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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.