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Finding the Third Proportional to 56,599 and 76,594

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Solution

The third proportional to 56,599 and 76,594 is: 103,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,599 : 76,594 = 76,594 : x
  2. Step 2: Convert to fraction form
    56,599/76,594 = 76,594/x
  3. Step 3: Cross multiply
    56,599x = 76,594 × 76,594
  4. Step 4: Simplify right side
    56,599x = 5,866,640,836
  5. Step 5: Solve for x
    x = 5,866,640,836/56,599
  6. Step 6: Final answer
    x = 103,652.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.