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Finding the Third Proportional to 58,944 and 127,300

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Solution

The third proportional to 58,944 and 127,300 is: 274,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,944 : 127,300 = 127,300 : x
  2. Step 2: Convert to fraction form
    58,944/127,300 = 127,300/x
  3. Step 3: Cross multiply
    58,944x = 127,300 × 127,300
  4. Step 4: Simplify right side
    58,944x = 16,205,290,000
  5. Step 5: Solve for x
    x = 16,205,290,000/58,944
  6. Step 6: Final answer
    x = 274,926.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.