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Finding the Third Proportional to 61,462 and 134,047

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Solution

The third proportional to 61,462 and 134,047 is: 292,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,462 : 134,047 = 134,047 : x
  2. Step 2: Convert to fraction form
    61,462/134,047 = 134,047/x
  3. Step 3: Cross multiply
    61,462x = 134,047 × 134,047
  4. Step 4: Simplify right side
    61,462x = 17,968,598,209
  5. Step 5: Solve for x
    x = 17,968,598,209/61,462
  6. Step 6: Final answer
    x = 292,352.97

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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.