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Finding the Third Proportional to 71,335 and 151,886

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Solution

The third proportional to 71,335 and 151,886 is: 323,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,335 : 151,886 = 151,886 : x
  2. Step 2: Convert to fraction form
    71,335/151,886 = 151,886/x
  3. Step 3: Cross multiply
    71,335x = 151,886 × 151,886
  4. Step 4: Simplify right side
    71,335x = 23,069,356,996
  5. Step 5: Solve for x
    x = 23,069,356,996/71,335
  6. Step 6: Final answer
    x = 323,394.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.