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Finding the Third Proportional to 74,818 and 160,013

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Solution

The third proportional to 74,818 and 160,013 is: 342,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,818 : 160,013 = 160,013 : x
  2. Step 2: Convert to fraction form
    74,818/160,013 = 160,013/x
  3. Step 3: Cross multiply
    74,818x = 160,013 × 160,013
  4. Step 4: Simplify right side
    74,818x = 25,604,160,169
  5. Step 5: Solve for x
    x = 25,604,160,169/74,818
  6. Step 6: Final answer
    x = 342,219.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.