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Finding the Third Proportional to 53,634 and 88,875

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Solution

The third proportional to 53,634 and 88,875 is: 147,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,634 : 88,875 = 88,875 : x
  2. Step 2: Convert to fraction form
    53,634/88,875 = 88,875/x
  3. Step 3: Cross multiply
    53,634x = 88,875 × 88,875
  4. Step 4: Simplify right side
    53,634x = 7,898,765,625
  5. Step 5: Solve for x
    x = 7,898,765,625/53,634
  6. Step 6: Final answer
    x = 147,271.61

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.