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Finding the Third Proportional to 58,991 and 129,646

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Solution

The third proportional to 58,991 and 129,646 is: 284,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,991 : 129,646 = 129,646 : x
  2. Step 2: Convert to fraction form
    58,991/129,646 = 129,646/x
  3. Step 3: Cross multiply
    58,991x = 129,646 × 129,646
  4. Step 4: Simplify right side
    58,991x = 16,808,085,316
  5. Step 5: Solve for x
    x = 16,808,085,316/58,991
  6. Step 6: Final answer
    x = 284,926.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.