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Finding the Third Proportional to 72,639 and 158,143

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Solution

The third proportional to 72,639 and 158,143 is: 344,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,639 : 158,143 = 158,143 : x
  2. Step 2: Convert to fraction form
    72,639/158,143 = 158,143/x
  3. Step 3: Cross multiply
    72,639x = 158,143 × 158,143
  4. Step 4: Simplify right side
    72,639x = 25,009,208,449
  5. Step 5: Solve for x
    x = 25,009,208,449/72,639
  6. Step 6: Final answer
    x = 344,294.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.