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Finding the Third Proportional to 104,827.50 and 139,664

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Solution

The third proportional to 104,827.50 and 139,664 is: 186,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,827.50 : 139,664 = 139,664 : x
  2. Step 2: Convert to fraction form
    104,827.50/139,664 = 139,664/x
  3. Step 3: Cross multiply
    104,827.50x = 139,664 × 139,664
  4. Step 4: Simplify right side
    104,827.50x = 19,506,032,896
  5. Step 5: Solve for x
    x = 19,506,032,896/104,827.50
  6. Step 6: Final answer
    x = 186,077.44

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.