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Finding the Third Proportional to 71,025 and 152,803

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Solution

The third proportional to 71,025 and 152,803 is: 328,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,025 : 152,803 = 152,803 : x
  2. Step 2: Convert to fraction form
    71,025/152,803 = 152,803/x
  3. Step 3: Cross multiply
    71,025x = 152,803 × 152,803
  4. Step 4: Simplify right side
    71,025x = 23,348,756,809
  5. Step 5: Solve for x
    x = 23,348,756,809/71,025
  6. Step 6: Final answer
    x = 328,739.98

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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.