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Finding the Third Proportional to 61,546.50 and 100,490.63

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Solution

The third proportional to 61,546.50 and 100,490.63 is: 164,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,546.50 : 100,490.63 = 100,490.63 : x
  2. Step 2: Convert to fraction form
    61,546.50/100,490.63 = 100,490.63/x
  3. Step 3: Cross multiply
    61,546.50x = 100,490.63 × 100,490.63
  4. Step 4: Simplify right side
    61,546.50x = 10,098,365,712.89
  5. Step 5: Solve for x
    x = 10,098,365,712.89/61,546.50
  6. Step 6: Final answer
    x = 164,077.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.