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Finding the Third Proportional to 71,820 and 154,301.63

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Solution

The third proportional to 71,820 and 154,301.63 is: 331,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,820 : 154,301.63 = 154,301.63 : x
  2. Step 2: Convert to fraction form
    71,820/154,301.63 = 154,301.63/x
  3. Step 3: Cross multiply
    71,820x = 154,301.63 × 154,301.63
  4. Step 4: Simplify right side
    71,820x = 23,808,991,477.64
  5. Step 5: Solve for x
    x = 23,808,991,477.64/71,820
  6. Step 6: Final answer
    x = 331,509.21

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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.