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Finding the Third Proportional to 56,982 and 88,459.50

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Solution

The third proportional to 56,982 and 88,459.50 is: 137,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,982 : 88,459.50 = 88,459.50 : x
  2. Step 2: Convert to fraction form
    56,982/88,459.50 = 88,459.50/x
  3. Step 3: Cross multiply
    56,982x = 88,459.50 × 88,459.50
  4. Step 4: Simplify right side
    56,982x = 7,825,083,140.25
  5. Step 5: Solve for x
    x = 7,825,083,140.25/56,982
  6. Step 6: Final answer
    x = 137,325.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.