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Finding the Third Proportional to 64,453 and 99,595

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Solution

The third proportional to 64,453 and 99,595 is: 153,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,453 : 99,595 = 99,595 : x
  2. Step 2: Convert to fraction form
    64,453/99,595 = 99,595/x
  3. Step 3: Cross multiply
    64,453x = 99,595 × 99,595
  4. Step 4: Simplify right side
    64,453x = 9,919,164,025
  5. Step 5: Solve for x
    x = 9,919,164,025/64,453
  6. Step 6: Final answer
    x = 153,897.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.