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Finding the Third Proportional to 60,194 and 93,334.50

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Solution

The third proportional to 60,194 and 93,334.50 is: 144,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,194 : 93,334.50 = 93,334.50 : x
  2. Step 2: Convert to fraction form
    60,194/93,334.50 = 93,334.50/x
  3. Step 3: Cross multiply
    60,194x = 93,334.50 × 93,334.50
  4. Step 4: Simplify right side
    60,194x = 8,711,328,890.25
  5. Step 5: Solve for x
    x = 8,711,328,890.25/60,194
  6. Step 6: Final answer
    x = 144,720.88

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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.