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Finding the Third Proportional to 74,494.13 and 161,686.88

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Solution

The third proportional to 74,494.13 and 161,686.88 is: 350,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,494.13 : 161,686.88 = 161,686.88 : x
  2. Step 2: Convert to fraction form
    74,494.13/161,686.88 = 161,686.88/x
  3. Step 3: Cross multiply
    74,494.13x = 161,686.88 × 161,686.88
  4. Step 4: Simplify right side
    74,494.13x = 26,142,645,547.27
  5. Step 5: Solve for x
    x = 26,142,645,547.27/74,494.13
  6. Step 6: Final answer
    x = 350,935.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.