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Finding the Third Proportional to 72,090 and 154,143

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Solution

The third proportional to 72,090 and 154,143 is: 329,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,090 : 154,143 = 154,143 : x
  2. Step 2: Convert to fraction form
    72,090/154,143 = 154,143/x
  3. Step 3: Cross multiply
    72,090x = 154,143 × 154,143
  4. Step 4: Simplify right side
    72,090x = 23,760,064,449
  5. Step 5: Solve for x
    x = 23,760,064,449/72,090
  6. Step 6: Final answer
    x = 329,588.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.