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Finding the Third Proportional to 46,588 and 100,592

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Solution

The third proportional to 46,588 and 100,592 is: 217,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,588 : 100,592 = 100,592 : x
  2. Step 2: Convert to fraction form
    46,588/100,592 = 100,592/x
  3. Step 3: Cross multiply
    46,588x = 100,592 × 100,592
  4. Step 4: Simplify right side
    46,588x = 10,118,750,464
  5. Step 5: Solve for x
    x = 10,118,750,464/46,588
  6. Step 6: Final answer
    x = 217,196.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.