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Finding the Third Proportional to 100,438.50 and 136,254

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Solution

The third proportional to 100,438.50 and 136,254 is: 184,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,438.50 : 136,254 = 136,254 : x
  2. Step 2: Convert to fraction form
    100,438.50/136,254 = 136,254/x
  3. Step 3: Cross multiply
    100,438.50x = 136,254 × 136,254
  4. Step 4: Simplify right side
    100,438.50x = 18,565,152,516
  5. Step 5: Solve for x
    x = 18,565,152,516/100,438.50
  6. Step 6: Final answer
    x = 184,841.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.