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Finding the Third Proportional to 61,153.50 and 128,938.50

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Solution

The third proportional to 61,153.50 and 128,938.50 is: 271,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,153.50 : 128,938.50 = 128,938.50 : x
  2. Step 2: Convert to fraction form
    61,153.50/128,938.50 = 128,938.50/x
  3. Step 3: Cross multiply
    61,153.50x = 128,938.50 × 128,938.50
  4. Step 4: Simplify right side
    61,153.50x = 16,625,136,782.25
  5. Step 5: Solve for x
    x = 16,625,136,782.25/61,153.50
  6. Step 6: Final answer
    x = 271,859.12

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.