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Finding the Third Proportional to 59,272 and 139,910

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Solution

The third proportional to 59,272 and 139,910 is: 330,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,272 : 139,910 = 139,910 : x
  2. Step 2: Convert to fraction form
    59,272/139,910 = 139,910/x
  3. Step 3: Cross multiply
    59,272x = 139,910 × 139,910
  4. Step 4: Simplify right side
    59,272x = 19,574,808,100
  5. Step 5: Solve for x
    x = 19,574,808,100/59,272
  6. Step 6: Final answer
    x = 330,253.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.