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Finding the Third Proportional to 53,397.83 and 113,946.12

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Solution

The third proportional to 53,397.83 and 113,946.12 is: 243,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,397.83 : 113,946.12 = 113,946.12 : x
  2. Step 2: Convert to fraction form
    53,397.83/113,946.12 = 113,946.12/x
  3. Step 3: Cross multiply
    53,397.83x = 113,946.12 × 113,946.12
  4. Step 4: Simplify right side
    53,397.83x = 12,983,717,622.11
  5. Step 5: Solve for x
    x = 12,983,717,622.11/53,397.83
  6. Step 6: Final answer
    x = 243,150.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.