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Finding the Third Proportional to 73,592 and 160,070

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Solution

The third proportional to 73,592 and 160,070 is: 348,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,592 : 160,070 = 160,070 : x
  2. Step 2: Convert to fraction form
    73,592/160,070 = 160,070/x
  3. Step 3: Cross multiply
    73,592x = 160,070 × 160,070
  4. Step 4: Simplify right side
    73,592x = 25,622,404,900
  5. Step 5: Solve for x
    x = 25,622,404,900/73,592
  6. Step 6: Final answer
    x = 348,168.35

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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.