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Finding the Third Proportional to 70,956 and 152,239.50

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Solution

The third proportional to 70,956 and 152,239.50 is: 326,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,956 : 152,239.50 = 152,239.50 : x
  2. Step 2: Convert to fraction form
    70,956/152,239.50 = 152,239.50/x
  3. Step 3: Cross multiply
    70,956x = 152,239.50 × 152,239.50
  4. Step 4: Simplify right side
    70,956x = 23,176,865,360.25
  5. Step 5: Solve for x
    x = 23,176,865,360.25/70,956
  6. Step 6: Final answer
    x = 326,637.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.