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Finding the Third Proportional to 53,094 and 81,498

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Solution

The third proportional to 53,094 and 81,498 is: 125,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,094 : 81,498 = 81,498 : x
  2. Step 2: Convert to fraction form
    53,094/81,498 = 81,498/x
  3. Step 3: Cross multiply
    53,094x = 81,498 × 81,498
  4. Step 4: Simplify right side
    53,094x = 6,641,924,004
  5. Step 5: Solve for x
    x = 6,641,924,004/53,094
  6. Step 6: Final answer
    x = 125,097.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.