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Finding the Third Proportional to 60,090.75 and 93,416.25

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Solution

The third proportional to 60,090.75 and 93,416.25 is: 145,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,090.75 : 93,416.25 = 93,416.25 : x
  2. Step 2: Convert to fraction form
    60,090.75/93,416.25 = 93,416.25/x
  3. Step 3: Cross multiply
    60,090.75x = 93,416.25 × 93,416.25
  4. Step 4: Simplify right side
    60,090.75x = 8,726,595,764.06
  5. Step 5: Solve for x
    x = 8,726,595,764.06/60,090.75
  6. Step 6: Final answer
    x = 145,223.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.