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Finding the Third Proportional to 58,607 and 129,166

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Solution

The third proportional to 58,607 and 129,166 is: 284,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,607 : 129,166 = 129,166 : x
  2. Step 2: Convert to fraction form
    58,607/129,166 = 129,166/x
  3. Step 3: Cross multiply
    58,607x = 129,166 × 129,166
  4. Step 4: Simplify right side
    58,607x = 16,683,855,556
  5. Step 5: Solve for x
    x = 16,683,855,556/58,607
  6. Step 6: Final answer
    x = 284,673.43

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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.