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Finding the Third Proportional to 63,914 and 139,490

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Solution

The third proportional to 63,914 and 139,490 is: 304,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,914 : 139,490 = 139,490 : x
  2. Step 2: Convert to fraction form
    63,914/139,490 = 139,490/x
  3. Step 3: Cross multiply
    63,914x = 139,490 × 139,490
  4. Step 4: Simplify right side
    63,914x = 19,457,460,100
  5. Step 5: Solve for x
    x = 19,457,460,100/63,914
  6. Step 6: Final answer
    x = 304,431.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.