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Finding the Third Proportional to 53,513.16 and 79,962.19

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Solution

The third proportional to 53,513.16 and 79,962.19 is: 119,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,513.16 : 79,962.19 = 79,962.19 : x
  2. Step 2: Convert to fraction form
    53,513.16/79,962.19 = 79,962.19/x
  3. Step 3: Cross multiply
    53,513.16x = 79,962.19 × 79,962.19
  4. Step 4: Simplify right side
    53,513.16x = 6,393,951,429.79
  5. Step 5: Solve for x
    x = 6,393,951,429.79/53,513.16
  6. Step 6: Final answer
    x = 119,483.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.