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Finding the Third Proportional to 74,007 and 159,835.50

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Solution

The third proportional to 74,007 and 159,835.50 is: 345,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,007 : 159,835.50 = 159,835.50 : x
  2. Step 2: Convert to fraction form
    74,007/159,835.50 = 159,835.50/x
  3. Step 3: Cross multiply
    74,007x = 159,835.50 × 159,835.50
  4. Step 4: Simplify right side
    74,007x = 25,547,387,060.25
  5. Step 5: Solve for x
    x = 25,547,387,060.25/74,007
  6. Step 6: Final answer
    x = 345,202.31

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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.