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Finding the Third Proportional to 73,114 and 157,886

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Solution

The third proportional to 73,114 and 157,886 is: 340,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114 : 157,886 = 157,886 : x
  2. Step 2: Convert to fraction form
    73,114/157,886 = 157,886/x
  3. Step 3: Cross multiply
    73,114x = 157,886 × 157,886
  4. Step 4: Simplify right side
    73,114x = 24,927,988,996
  5. Step 5: Solve for x
    x = 24,927,988,996/73,114
  6. Step 6: Final answer
    x = 340,946.86

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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.