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Finding the Third Proportional to 103,076 and 139,816

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Solution

The third proportional to 103,076 and 139,816 is: 189,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,076 : 139,816 = 139,816 : x
  2. Step 2: Convert to fraction form
    103,076/139,816 = 139,816/x
  3. Step 3: Cross multiply
    103,076x = 139,816 × 139,816
  4. Step 4: Simplify right side
    103,076x = 19,548,513,856
  5. Step 5: Solve for x
    x = 19,548,513,856/103,076
  6. Step 6: Final answer
    x = 189,651.46

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.