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Finding the Third Proportional to 70,820.50 and 152,166.13

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Solution

The third proportional to 70,820.50 and 152,166.13 is: 326,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,820.50 : 152,166.13 = 152,166.13 : x
  2. Step 2: Convert to fraction form
    70,820.50/152,166.13 = 152,166.13/x
  3. Step 3: Cross multiply
    70,820.50x = 152,166.13 × 152,166.13
  4. Step 4: Simplify right side
    70,820.50x = 23,154,529,597.52
  5. Step 5: Solve for x
    x = 23,154,529,597.52/70,820.50
  6. Step 6: Final answer
    x = 326,946.71

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