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Finding the Third Proportional to 74,009.63 and 162,781.50

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Solution

The third proportional to 74,009.63 and 162,781.50 is: 358,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,009.63 : 162,781.50 = 162,781.50 : x
  2. Step 2: Convert to fraction form
    74,009.63/162,781.50 = 162,781.50/x
  3. Step 3: Cross multiply
    74,009.63x = 162,781.50 × 162,781.50
  4. Step 4: Simplify right side
    74,009.63x = 26,497,816,742.25
  5. Step 5: Solve for x
    x = 26,497,816,742.25/74,009.63
  6. Step 6: Final answer
    x = 358,032.04

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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.