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Finding the Third Proportional to 99,136.13 and 141,322.50

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Solution

The third proportional to 99,136.13 and 141,322.50 is: 201,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,136.13 : 141,322.50 = 141,322.50 : x
  2. Step 2: Convert to fraction form
    99,136.13/141,322.50 = 141,322.50/x
  3. Step 3: Cross multiply
    99,136.13x = 141,322.50 × 141,322.50
  4. Step 4: Simplify right side
    99,136.13x = 19,972,049,006.25
  5. Step 5: Solve for x
    x = 19,972,049,006.25/99,136.13
  6. Step 6: Final answer
    x = 201,460.86

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.