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Finding the Third Proportional to 52,582.50 and 114,036.94

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Solution

The third proportional to 52,582.50 and 114,036.94 is: 247,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,582.50 : 114,036.94 = 114,036.94 : x
  2. Step 2: Convert to fraction form
    52,582.50/114,036.94 = 114,036.94/x
  3. Step 3: Cross multiply
    52,582.50x = 114,036.94 × 114,036.94
  4. Step 4: Simplify right side
    52,582.50x = 13,004,423,114.38
  5. Step 5: Solve for x
    x = 13,004,423,114.38/52,582.50
  6. Step 6: Final answer
    x = 247,314.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.