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Finding the Third Proportional to 74,779.88 and 161,301.38

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Solution

The third proportional to 74,779.88 and 161,301.38 is: 347,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,779.88 : 161,301.38 = 161,301.38 : x
  2. Step 2: Convert to fraction form
    74,779.88/161,301.38 = 161,301.38/x
  3. Step 3: Cross multiply
    74,779.88x = 161,301.38 × 161,301.38
  4. Step 4: Simplify right side
    74,779.88x = 26,018,133,576.89
  5. Step 5: Solve for x
    x = 26,018,133,576.89/74,779.88
  6. Step 6: Final answer
    x = 347,929.62

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Why These Related Problems?

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