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Finding the Third Proportional to 52,937.30 and 116,370

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Solution

The third proportional to 52,937.30 and 116,370 is: 255,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,937.30 : 116,370 = 116,370 : x
  2. Step 2: Convert to fraction form
    52,937.30/116,370 = 116,370/x
  3. Step 3: Cross multiply
    52,937.30x = 116,370 × 116,370
  4. Step 4: Simplify right side
    52,937.30x = 13,541,976,900
  5. Step 5: Solve for x
    x = 13,541,976,900/52,937.30
  6. Step 6: Final answer
    x = 255,811.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.