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Finding the Third Proportional to 53,518.50 and 115,785

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Solution

The third proportional to 53,518.50 and 115,785 is: 250,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,518.50 : 115,785 = 115,785 : x
  2. Step 2: Convert to fraction form
    53,518.50/115,785 = 115,785/x
  3. Step 3: Cross multiply
    53,518.50x = 115,785 × 115,785
  4. Step 4: Simplify right side
    53,518.50x = 13,406,166,225
  5. Step 5: Solve for x
    x = 13,406,166,225/53,518.50
  6. Step 6: Final answer
    x = 250,495.93

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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.