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Finding the Third Proportional to 69,437 and 151,417

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Solution

The third proportional to 69,437 and 151,417 is: 330,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,437 : 151,417 = 151,417 : x
  2. Step 2: Convert to fraction form
    69,437/151,417 = 151,417/x
  3. Step 3: Cross multiply
    69,437x = 151,417 × 151,417
  4. Step 4: Simplify right side
    69,437x = 22,927,107,889
  5. Step 5: Solve for x
    x = 22,927,107,889/69,437
  6. Step 6: Final answer
    x = 330,185.75

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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.