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Finding the Third Proportional to 61,533.50 and 94,925

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Solution

The third proportional to 61,533.50 and 94,925 is: 146,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,533.50 : 94,925 = 94,925 : x
  2. Step 2: Convert to fraction form
    61,533.50/94,925 = 94,925/x
  3. Step 3: Cross multiply
    61,533.50x = 94,925 × 94,925
  4. Step 4: Simplify right side
    61,533.50x = 9,010,755,625
  5. Step 5: Solve for x
    x = 9,010,755,625/61,533.50
  6. Step 6: Final answer
    x = 146,436.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.