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Finding the Third Proportional to 61,712 and 134,224

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Solution

The third proportional to 61,712 and 134,224 is: 291,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,712 : 134,224 = 134,224 : x
  2. Step 2: Convert to fraction form
    61,712/134,224 = 134,224/x
  3. Step 3: Cross multiply
    61,712x = 134,224 × 134,224
  4. Step 4: Simplify right side
    61,712x = 18,016,082,176
  5. Step 5: Solve for x
    x = 18,016,082,176/61,712
  6. Step 6: Final answer
    x = 291,938.07

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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.