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Finding the Third Proportional to 73,030 and 157,148

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Solution

The third proportional to 73,030 and 157,148 is: 338,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,030 : 157,148 = 157,148 : x
  2. Step 2: Convert to fraction form
    73,030/157,148 = 157,148/x
  3. Step 3: Cross multiply
    73,030x = 157,148 × 157,148
  4. Step 4: Simplify right side
    73,030x = 24,695,493,904
  5. Step 5: Solve for x
    x = 24,695,493,904/73,030
  6. Step 6: Final answer
    x = 338,155.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.