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Finding the Third Proportional to 60,099.50 and 93,430

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Solution

The third proportional to 60,099.50 and 93,430 is: 145,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,099.50 : 93,430 = 93,430 : x
  2. Step 2: Convert to fraction form
    60,099.50/93,430 = 93,430/x
  3. Step 3: Cross multiply
    60,099.50x = 93,430 × 93,430
  4. Step 4: Simplify right side
    60,099.50x = 8,729,164,900
  5. Step 5: Solve for x
    x = 8,729,164,900/60,099.50
  6. Step 6: Final answer
    x = 145,245.22

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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.