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Finding the Third Proportional to 58,798 and 129,301

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Solution

The third proportional to 58,798 and 129,301 is: 284,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,798 : 129,301 = 129,301 : x
  2. Step 2: Convert to fraction form
    58,798/129,301 = 129,301/x
  3. Step 3: Cross multiply
    58,798x = 129,301 × 129,301
  4. Step 4: Simplify right side
    58,798x = 16,718,748,601
  5. Step 5: Solve for x
    x = 16,718,748,601/58,798
  6. Step 6: Final answer
    x = 284,342.13

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Why These Related Problems?

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