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Finding the Third Proportional to 46,100 and 67,132

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Solution

The third proportional to 46,100 and 67,132 is: 97,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,100 : 67,132 = 67,132 : x
  2. Step 2: Convert to fraction form
    46,100/67,132 = 67,132/x
  3. Step 3: Cross multiply
    46,100x = 67,132 × 67,132
  4. Step 4: Simplify right side
    46,100x = 4,506,705,424
  5. Step 5: Solve for x
    x = 4,506,705,424/46,100
  6. Step 6: Final answer
    x = 97,759.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.