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Finding the Third Proportional to 42,136.13 and 92,143.31

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Solution

The third proportional to 42,136.13 and 92,143.31 is: 201,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,136.13 : 92,143.31 = 92,143.31 : x
  2. Step 2: Convert to fraction form
    42,136.13/92,143.31 = 92,143.31/x
  3. Step 3: Cross multiply
    42,136.13x = 92,143.31 × 92,143.31
  4. Step 4: Simplify right side
    42,136.13x = 8,490,390,038.47
  5. Step 5: Solve for x
    x = 8,490,390,038.47/42,136.13
  6. Step 6: Final answer
    x = 201,499.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.