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Finding the Third Proportional to 52,873.50 and 114,459

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Solution

The third proportional to 52,873.50 and 114,459 is: 247,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,873.50 : 114,459 = 114,459 : x
  2. Step 2: Convert to fraction form
    52,873.50/114,459 = 114,459/x
  3. Step 3: Cross multiply
    52,873.50x = 114,459 × 114,459
  4. Step 4: Simplify right side
    52,873.50x = 13,100,862,681
  5. Step 5: Solve for x
    x = 13,100,862,681/52,873.50
  6. Step 6: Final answer
    x = 247,777.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.