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Finding the Third Proportional to 58,984 and 129,042

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Solution

The third proportional to 58,984 and 129,042 is: 282,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,984 : 129,042 = 129,042 : x
  2. Step 2: Convert to fraction form
    58,984/129,042 = 129,042/x
  3. Step 3: Cross multiply
    58,984x = 129,042 × 129,042
  4. Step 4: Simplify right side
    58,984x = 16,651,837,764
  5. Step 5: Solve for x
    x = 16,651,837,764/58,984
  6. Step 6: Final answer
    x = 282,311.10

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Why These Related Problems?

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