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Finding the Third Proportional to 71,076 and 153,090

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Solution

The third proportional to 71,076 and 153,090 is: 329,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,076 : 153,090 = 153,090 : x
  2. Step 2: Convert to fraction form
    71,076/153,090 = 153,090/x
  3. Step 3: Cross multiply
    71,076x = 153,090 × 153,090
  4. Step 4: Simplify right side
    71,076x = 23,436,548,100
  5. Step 5: Solve for x
    x = 23,436,548,100/71,076
  6. Step 6: Final answer
    x = 329,739.27

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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.