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Finding the Third Proportional to 64,764 and 152,664

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Solution

The third proportional to 64,764 and 152,664 is: 359,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764 : 152,664 = 152,664 : x
  2. Step 2: Convert to fraction form
    64,764/152,664 = 152,664/x
  3. Step 3: Cross multiply
    64,764x = 152,664 × 152,664
  4. Step 4: Simplify right side
    64,764x = 23,306,296,896
  5. Step 5: Solve for x
    x = 23,306,296,896/64,764
  6. Step 6: Final answer
    x = 359,865.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.