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Finding the Third Proportional to 74,878.59 and 162,876.38

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Solution

The third proportional to 74,878.59 and 162,876.38 is: 354,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,878.59 : 162,876.38 = 162,876.38 : x
  2. Step 2: Convert to fraction form
    74,878.59/162,876.38 = 162,876.38/x
  3. Step 3: Cross multiply
    74,878.59x = 162,876.38 × 162,876.38
  4. Step 4: Simplify right side
    74,878.59x = 26,528,713,533.14
  5. Step 5: Solve for x
    x = 26,528,713,533.14/74,878.59
  6. Step 6: Final answer
    x = 354,289.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.