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Finding the Third Proportional to 102,099 and 153,246.50

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Solution

The third proportional to 102,099 and 153,246.50 is: 230,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099 : 153,246.50 = 153,246.50 : x
  2. Step 2: Convert to fraction form
    102,099/153,246.50 = 153,246.50/x
  3. Step 3: Cross multiply
    102,099x = 153,246.50 × 153,246.50
  4. Step 4: Simplify right side
    102,099x = 23,484,489,762.25
  5. Step 5: Solve for x
    x = 23,484,489,762.25/102,099
  6. Step 6: Final answer
    x = 230,016.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.