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Finding the Third Proportional to 64,508 and 99,638

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Solution

The third proportional to 64,508 and 99,638 is: 153,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,508 : 99,638 = 99,638 : x
  2. Step 2: Convert to fraction form
    64,508/99,638 = 99,638/x
  3. Step 3: Cross multiply
    64,508x = 99,638 × 99,638
  4. Step 4: Simplify right side
    64,508x = 9,927,731,044
  5. Step 5: Solve for x
    x = 9,927,731,044/64,508
  6. Step 6: Final answer
    x = 153,899.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.