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Finding the Third Proportional to 43,061 and 63,316

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Solution

The third proportional to 43,061 and 63,316 is: 93,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,061 : 63,316 = 63,316 : x
  2. Step 2: Convert to fraction form
    43,061/63,316 = 63,316/x
  3. Step 3: Cross multiply
    43,061x = 63,316 × 63,316
  4. Step 4: Simplify right side
    43,061x = 4,008,915,856
  5. Step 5: Solve for x
    x = 4,008,915,856/43,061
  6. Step 6: Final answer
    x = 93,098.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.