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Finding the Third Proportional to 53,337.66 and 114,582.94

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Solution

The third proportional to 53,337.66 and 114,582.94 is: 246,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,337.66 : 114,582.94 = 114,582.94 : x
  2. Step 2: Convert to fraction form
    53,337.66/114,582.94 = 114,582.94/x
  3. Step 3: Cross multiply
    53,337.66x = 114,582.94 × 114,582.94
  4. Step 4: Simplify right side
    53,337.66x = 13,129,249,566.13
  5. Step 5: Solve for x
    x = 13,129,249,566.13/53,337.66
  6. Step 6: Final answer
    x = 246,153.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.