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Finding the Third Proportional to 61,693.05 and 90,203.07

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Solution

The third proportional to 61,693.05 and 90,203.07 is: 131,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,693.05 : 90,203.07 = 90,203.07 : x
  2. Step 2: Convert to fraction form
    61,693.05/90,203.07 = 90,203.07/x
  3. Step 3: Cross multiply
    61,693.05x = 90,203.07 × 90,203.07
  4. Step 4: Simplify right side
    61,693.05x = 8,136,594,069.98
  5. Step 5: Solve for x
    x = 8,136,594,069.98/61,693.05
  6. Step 6: Final answer
    x = 131,888.34

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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.