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Finding the Third Proportional to 71,034 and 153,148

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Solution

The third proportional to 71,034 and 153,148 is: 330,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,034 : 153,148 = 153,148 : x
  2. Step 2: Convert to fraction form
    71,034/153,148 = 153,148/x
  3. Step 3: Cross multiply
    71,034x = 153,148 × 153,148
  4. Step 4: Simplify right side
    71,034x = 23,454,309,904
  5. Step 5: Solve for x
    x = 23,454,309,904/71,034
  6. Step 6: Final answer
    x = 330,184.28

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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.