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Finding the Third Proportional to 63,502 and 100,468

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Solution

The third proportional to 63,502 and 100,468 is: 158,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,502 : 100,468 = 100,468 : x
  2. Step 2: Convert to fraction form
    63,502/100,468 = 100,468/x
  3. Step 3: Cross multiply
    63,502x = 100,468 × 100,468
  4. Step 4: Simplify right side
    63,502x = 10,093,819,024
  5. Step 5: Solve for x
    x = 10,093,819,024/63,502
  6. Step 6: Final answer
    x = 158,952.77

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.