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Finding the Third Proportional to 100,432.50 and 151,677

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Solution

The third proportional to 100,432.50 and 151,677 is: 229,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432.50 : 151,677 = 151,677 : x
  2. Step 2: Convert to fraction form
    100,432.50/151,677 = 151,677/x
  3. Step 3: Cross multiply
    100,432.50x = 151,677 × 151,677
  4. Step 4: Simplify right side
    100,432.50x = 23,005,912,329
  5. Step 5: Solve for x
    x = 23,005,912,329/100,432.50
  6. Step 6: Final answer
    x = 229,068.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.