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Finding the Third Proportional to 74,160 and 159,979.50

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Solution

The third proportional to 74,160 and 159,979.50 is: 345,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,160 : 159,979.50 = 159,979.50 : x
  2. Step 2: Convert to fraction form
    74,160/159,979.50 = 159,979.50/x
  3. Step 3: Cross multiply
    74,160x = 159,979.50 × 159,979.50
  4. Step 4: Simplify right side
    74,160x = 25,593,440,420.25
  5. Step 5: Solve for x
    x = 25,593,440,420.25/74,160
  6. Step 6: Final answer
    x = 345,111.12

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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.