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Finding the Third Proportional to 99,752 and 139,972

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Solution

The third proportional to 99,752 and 139,972 is: 196,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,752 : 139,972 = 139,972 : x
  2. Step 2: Convert to fraction form
    99,752/139,972 = 139,972/x
  3. Step 3: Cross multiply
    99,752x = 139,972 × 139,972
  4. Step 4: Simplify right side
    99,752x = 19,592,160,784
  5. Step 5: Solve for x
    x = 19,592,160,784/99,752
  6. Step 6: Final answer
    x = 196,408.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.