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Finding the Third Proportional to 53,664 and 88,704

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Solution

The third proportional to 53,664 and 88,704 is: 146,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,664 : 88,704 = 88,704 : x
  2. Step 2: Convert to fraction form
    53,664/88,704 = 88,704/x
  3. Step 3: Cross multiply
    53,664x = 88,704 × 88,704
  4. Step 4: Simplify right side
    53,664x = 7,868,399,616
  5. Step 5: Solve for x
    x = 7,868,399,616/53,664
  6. Step 6: Final answer
    x = 146,623.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.