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Finding the Third Proportional to 52,315.50 and 113,014.50

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Solution

The third proportional to 52,315.50 and 113,014.50 is: 244,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,315.50 : 113,014.50 = 113,014.50 : x
  2. Step 2: Convert to fraction form
    52,315.50/113,014.50 = 113,014.50/x
  3. Step 3: Cross multiply
    52,315.50x = 113,014.50 × 113,014.50
  4. Step 4: Simplify right side
    52,315.50x = 12,772,277,210.25
  5. Step 5: Solve for x
    x = 12,772,277,210.25/52,315.50
  6. Step 6: Final answer
    x = 244,139.45

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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.