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Finding the Third Proportional to 53,953.50 and 117,748.50

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Solution

The third proportional to 53,953.50 and 117,748.50 is: 256,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,953.50 : 117,748.50 = 117,748.50 : x
  2. Step 2: Convert to fraction form
    53,953.50/117,748.50 = 117,748.50/x
  3. Step 3: Cross multiply
    53,953.50x = 117,748.50 × 117,748.50
  4. Step 4: Simplify right side
    53,953.50x = 13,864,709,252.25
  5. Step 5: Solve for x
    x = 13,864,709,252.25/53,953.50
  6. Step 6: Final answer
    x = 256,975.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.