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Finding the Third Proportional to 52,438.50 and 114,597

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Solution

The third proportional to 52,438.50 and 114,597 is: 250,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,438.50 : 114,597 = 114,597 : x
  2. Step 2: Convert to fraction form
    52,438.50/114,597 = 114,597/x
  3. Step 3: Cross multiply
    52,438.50x = 114,597 × 114,597
  4. Step 4: Simplify right side
    52,438.50x = 13,132,472,409
  5. Step 5: Solve for x
    x = 13,132,472,409/52,438.50
  6. Step 6: Final answer
    x = 250,435.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.