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Finding the Third Proportional to 59,982 and 138,859.50

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Solution

The third proportional to 59,982 and 138,859.50 is: 321,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,982 : 138,859.50 = 138,859.50 : x
  2. Step 2: Convert to fraction form
    59,982/138,859.50 = 138,859.50/x
  3. Step 3: Cross multiply
    59,982x = 138,859.50 × 138,859.50
  4. Step 4: Simplify right side
    59,982x = 19,281,960,740.25
  5. Step 5: Solve for x
    x = 19,281,960,740.25/59,982
  6. Step 6: Final answer
    x = 321,462.45

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.