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Finding the Third Proportional to 84,148 and 123,730

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Solution

The third proportional to 84,148 and 123,730 is: 181,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,148 : 123,730 = 123,730 : x
  2. Step 2: Convert to fraction form
    84,148/123,730 = 123,730/x
  3. Step 3: Cross multiply
    84,148x = 123,730 × 123,730
  4. Step 4: Simplify right side
    84,148x = 15,309,112,900
  5. Step 5: Solve for x
    x = 15,309,112,900/84,148
  6. Step 6: Final answer
    x = 181,930.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.